As mentioned above, the Amazons don't have the ability to fly, likely because they would have no need for such an ability given they don't ever wish to leave their small and reclusive island.
So, why doesn't Diana fly in modern times? Technically, it all boiled down to the fact that Batman V Superman and Justice League were made before the story for Wonder Woman 1984 was locked in.
Although Wonder Woman possesses the power of flight, the invisible jet is very useful, as it contains certain on-board equipment, serves as a protective shelter, carries Wonder Woman's cargo, and, of course, renders her invisible for stealth missions.
One such tweak occurred in the origin of Wonder Woman's powers, which were now derived from several Olympian deities, including Hermes - from whom she was granted the ability to fly at an incredibly fast speed.
It was three years later, in 1958's Wonder Woman #98, that Diana began to soar on her own—but these powers were limited, only allowing her to ride undependable air currents like a bird in mid-flight.
Can WONDER WOMAN Fly? || Comic Misconceptions || NerdSync
Why can Wonder Woman fly but not other Amazons?
Wonder Woman's ability to fly is not a natural power bestowed upon the Amazons of Themyscira, but rather a result of powerful artifacts and gifts from the Greek Pantheon of Gods, particularly her half-brother Hermes.
She has no convenient weakness. She used to be rendered powerless if she was bound or shackled by a man, but that's been phased out. She would also go mad when her bracelets were removed. Not treated consistently either.
WW is not even close to Supes in strength, speed, or durability. It would be a decent fight at first, but she would not be able to go the distance with Supes.
Diana and Clark can both fly and have similar sets of flying abilities. Even if Superman and Wonder Woman each have varying speeds depending on their respective solar power and magical abilities, they usually fly at around the same velocities.
Captain Atom has proven in past battles that he is stronger than Superman and has better fighting skills. He can also weaponize red sun radiation, which can weaken Superman like Kryptonite and magic.
According to the comics, Superman can fly because of a combination of powers he derives from Earth's “yellow” Sun and from his extraterrestrial biology. On his birth planet, Krypton, gravity was much stronger than it is on Earth, so Kryptonians developed a physique that could resist its pull.
The most general rule regarding Wonder Woman is that she is immortal but not invulnerable. In other words, she is immune to natural death but not to a violent death. In other continuities, Wonder Woman has been immortal but only on the island of Themyscira.
Despite their supernatural powers and incredible feats of ability, they are still, essentially, human women, and since they are an all-female society, procreation does not happen.
Though Diana had saved Themyscira, with the help of the other League members, she had broken the sacred law that forbade anyone from bringing men to the island. Because of her actions, Hippolyta was forced to banish Diana from Themyscira.
When Diana fought Ares (David Thewlis) at the end of Wonder Woman, she was able to levitate after she powered up and fully achieved her demigodhood as the daughter of Zeus.
But when pitted against each other, only one can come out on top. Wonder Woman proved she does, in fact, have what it takes to bring down Superman in Wonder Woman #219 by Greg Rucka, Rags Morales, David Lopez, Tom Derenick, Georges Jeanty and Karl Kerschl.
Sometimes she's actually written as impervious to conventional projectiles. She just deflects them with her bracelets because she enjoys doing that. But originally she was indeed vulnerable to bullets while still having an enormous durability to blunt force impact.
Efficiency, knowledge and experience will always beat raw speed. That is what enables Wonder Woman to run faster than the likes of Kid Flash and Godspeed, despite being unable to access the Speed Force like Flash can.
Slight spoilers on the film's plot. Why doesn't Wonder Woman have her own physical "Kryptonite"? Although quite durable, various incarnations of her have shown she is vulnerable to piercing weapons like bullets, arrows, swords, and knives. Hence why she uses her bracers/bracelets to block/deflect them.
Even with her fighting knowledge, Hulk's raw power alone is likely far too much for her to handle. Furthermore, Hulk only grows stronger as his rage increases. In a prolonged fight with Wonder Woman, he is very likely to grow ever stronger, eventually being able to completely overpower her.
Wonder Woman's strength and powers are impressive, but she has been defeated by surprising opponents. Batwoman managed to beat Wonder Woman and nearly kill her using her combat skills and the lasso of truth. Swamp Thing easily defeated Wonder Woman without even needing to attack her, leaving her helpless.
The Cheetah is a supervillain appearing in DC Comics publications and related media, commonly as a major adversary of the superhero Wonder Woman. Like her nemesis, she was created by William Moulton Marston & H. G. Peter, debuting in the autumn of 1943 in Wonder Woman (volume 1) #6.
New 52. To reproduce and keep the Amazon race alive, the Themyscirans raid ships on the high seas and copulate with men. At the end of the mating, they take their lives and throw their corpses into the sea rather than marry them. Triumphant, the Amazons return to Paradise Island, and wait.
As Barbara became stronger, Diana became weaker. However, that's very much not the case. In fact, Diana's fading powers were a result of her own wish. When she first came into contact with the Dreamstone, she expressed a desire to have Steve Trevor back.
