1. the characterization of her personality makes absolutely no sense - the lore says she was created by zeus in the olden gods times, which means she's at least 3-6 thousand years old.
so, either amazons are like highlanders who age to a certain point and then just stop, or else they have an elongated development cycle, in either case the implication is she's just chilling out vaguely training to be a warrior for like... let's say 4000 years, which seems a little excessive.
she's stupidly naive for someone that has been around for that long, even giving her the benefit of the doubt that it's an isolated island and she's never left it, in the movie they say the amazons occasionally go out and get some dick to replenish their numbers, so there's SOME interaction with the outside world and the island... you'd think just gossip from the warriors during that 4000 years she spent training, she's simply either a complete fucking idiot (to the point where she wouldn't be able to suddenly be a cognitively normal person functioning in modern society once she leaves the island) or her "teehee i don't things about the world" routine is a plot device used to make her 'cute' and is just terrible writing.
2. steve flies away from a german military camp in a fighter plane, is chased by planes and boats, and pops into the island - which means the island has to be somewhere vaguely near axis powers territory.
then, they sail away from the island and in the middle of the night come across a tug boat that tows them into london within, to be generous, a span of 10 hours.
that is literally geographically impossible... not to mention how stupid is the idea that an island just off the coast of *anywhere* that is covered in a shroud of perpetual storm hasn't been discovered by anyone prior to this.
this is a plot hole that the writers created, that didn't have to be there, by establishing shitty rules for how the island's cloaking mechanism works instead of it being something like "the island moves around by magic, it's not in physically the same place all the time"
3. as a humanoid created out of clay by a god to be a weapon against another god, raised for thousands of years by warriors who go out of their way to deny her exposure to anything non-amazon, how am i supposed to believe or buy into her as a character with anything resembling relatable motivations or emotions? the movie goes "okay so she's a clay golem that's 4,000 years old.... but now because we want this to be a standard movie plot she's a totally normal 20-something human" and it's bullshit.
4. one of the thematic staples of wonder woman (and superman for that matter) has always been that they are not one of us, but they aspire to be because of the good they have seen in the world. this movie assumes this thematic element without ever actually establishing it within the narrative (man of steel has the same problem) because nothing in the script ever justifies or even shows an abbreviated example of her confronting the duality of man and deciding to embrace the good aspects of humanity and fight for them.
5. coming back to the issue of her not being human or even biological: what is her motivation in this movie? what's the emotional through-line that informs her behavior? why is she a people-loving hippie and not one of the hardasses who don't give a shit about the world?
we the audience know the answer because we know wonder woman, but the movie again just assumes this information instead of ever giving it within the narrative - which would have been fine with me if the movie had just skipped any kind of origin story entirely and gone with "fuck it, you all know who wonder woman is, here's a story about her in the DCEU" but it's all fucked up and muddled trying to give an origin without any actual origin.
this movie, and man of steel, are both narrative structures that say "that happened" and never "this is why that happened" or "this is how that happened", which robs any emotional resonance within the narrative of the film, leaving the audience to have to extrapolate from external sources.
(contrast this to the two most obvious marvel parallels and think about how well established steve rogers is as a character in his own right and as the persona of captain america within the first movie, or how thor's odd behavior is explained as being a combination of cultural differences to an alien race and his blithe ignorance and indifference to anything that isn't related to asgard)