The person I'm talking to(which is what I mean by research), has watched and read everything involving Zettai Karen children(as I admittedly have not so I needed a second opinion from someone who has).

If you want her to be accepted I would make the weaknesses more clear and obvious and... to be frank, everything they've told me and everything I looked up doesn't indicate she has any serious combat ability. If you're certain she does I'd like to see an example because the other sources I have contradict that.

[i]If[/i] she's a poor combatant and you make the other weaknesses more obvious and clear she's much more likely to be accepted. Just teleporting further and such is technically better but not completely outdoing another character to the point where she's so overshadowed.