The second pair is a better fit. It's hard to say whether they're safe to use from a picture. I would have the coaches look at them, they should evaluate it. I would look them over for wear, look at them on her, and have her try them carefully just hanging from the bar. It's not something I would say is never okay in any circumstances, but I would be cautious about it.
The first ones are too wide at the top where the fingers are. I'm surprised they're that wide actually, compared to the base. It looks like pretty much a standard size on top but just with a narrower base, which is definitely what I would expect from a grip that it supposed to be cut narrow. But either way there shouldn't be that much space next to the holes, so I'm just confused. My grips don't have that much material. Weird. They also look a bit too long but it could be how her hand is positioned in the picture.