It doesn't bother me one single bit, sister. Take that from a young guy in his early twenties.
She has done nothing wrong. And I would appreciate the fact that she is that candid about her past, instead of brushing her past and her genuinely human needs under the carpet like some pseudo-pious people do.
When I as a young man am allowed to take recourse to mutah to fulfill my desires while avoiding haram, what moral right do I have to deny her that opportunity, and object to the fact that she has made use of that opportunity?
If they were valid Islamically (i.e. aqad, iddah, etc) and her deen and aklaq were good in general, then no, there would be no issue.
In fact, I would admire her for keeping her deen and not being a hypocrite, like many who do haram rather than do mutah.
But there is one thing (which most brothers would agree with me on). If the guys that she did mutah with previously were still in the community and they, let's say, didn't have good aklaq about it (i.e. there was a chance they would talk about the relationship publically and in detail), then if I married her I would move to a different community.
The thing that most guys are afraid of is not the fact that she did mutah, it is the guy she did mutah with, if he doesn't have good aklaq and likes to talk, brag about it in public. Most guys would take this as a full blown assault on their manhood and would not be able to take it and may end up doing something, let's say 'not very nice' to the other guy(s). It also may affect the marriage. Most guys, unless they are momin, have no shame when it comes to things like this and will use any possible 'edge' they might have to try and show dominance over other guys. That is why most guys will not marry a girl unless she is a virgin, because the last thing they want is to be in a situation like this where there is no good outcome.