DD just turned 10 and is in 5th grade. She did a full grade acceleration back in kindergarten. If your DD is at least average in terms of social maturity I don't think it would be a bad decision to do an acceleration, although I doubt it will solve all the problems. The work would still be way too easy. Have you talked to the school about having her go to a higher level classroom just for certain subjects, like math and reading? DD and DS both go to 6th grade for math (DS is only 8 and in third grade but the school allows this and they say it is going well).
I will say, though, that girls this age (5th grade) seem to be much more "mature" than in the past. I saw one of DD's skype conversations with a school friend who I thought was a sweet little girl, and both girls were swearing in skype, the other girl wrote "LOL, you don't scare me." (as a sarcastic remark to something DD said). Then they were talking about how some other girls pushed DD at school and DD got mad. The other girl said "You were laughing at first, why would you laugh if it made you mad?" And DD said "Because I want to keep friends" and the other girl said "Why do you care so much about pleasing other people? Why not just focus on school?" and DD said "I'm more of a social type person than an academic person." and the other girl said "Give me a break, that's a bunch of B.S.! Why do you get upset so easily. I don't get upset that easily and I am a poor girl who does not have a computer, minecraft, or nice clothes. If you can't figure out how to act normal then I don't know if we should be friends." (just to note, this girl actually lives in a house that's twice as expensive as ours, and eariler in the conversation she said something like "I agree, school sucks @ss"). The conversation was appalling to me (both girls, not just the other girl). It sounded like something that I would have discussed with a friend at age 16 and these girls are both 10. They did end up working it out and are presumably good friends again but I'm waiting to see when the next episode occurs. DD talks frequently about catfights between girls at school and she sees herself as a sort of "peacemaker". Luckily the drama doesn't seem to get turned on her very often, although it's scary how quickly the dynamics can change.
