I don't believe in "going crazy" over anything in life because it's never the best way to handle any grievance or problem, no matter how legitimate or bad something is. I'd aim to remain objective, keeping in mind that the teacher and/or my child may only be presenting his/her own side/perspective. If, after I thought I had a good enough reading, I thought my child was the completely innocent victim of harassment; I'd politely and quietly "demand" that my child be removed from the class for starters. Nobody has to make a big show out of things. If the harassment were bad enough I'd follow through with legal action. I may also consider removing my child from the school if I didn't feel the school handled things appropriately and reasonably; or if I thought the "social consequences" of any legal process would affect my child. Basically, since I wouldn't want my child in school that handled such things poorly, it wouldn't be a case changing schools over an minor incident/situation.
If the situation/incident were minor enough, then a quiet switch without gossip and explanation to anyone would, I'd think, keep any talk/social consequences to a minimum. If the peers started giving her a hard time I'd expect someone from the school to talk to each one of them, tell them what goes on between one teacher and one student is not their business (and to essentially tell them to knock it off "or else"). Minor incidents tend to blow over. Sometimes it's inevitable that there'll be a little temporary flack when one happens. I'd think keeping that in mind and not over-reacting to it might be a good idea. Also, sometimes it's a good idea to (without fanfare or announcement) just "happen to be busy and keeping a lower profile" for awhile.
How effectively and powerfully anything is handled is never measured by the volume and craziness that can accompany some people's approach to dealing with things. Superintendents' files, personnel records, and court documents don't usually involve any decibel levels. Again, though, it would all depend on how serious the offense was; whether my child was particularly sensitive about some things that the average child may not be, etc. etc. It would also depend on whether my child was or wasn't a regular behavior problem in class and whether or not it was a matter of the teacher APPEARING to harass when, really maybe, s/he was regularly "on my child's back" about behaving (that type of thing).