Do not let her quit. It's not about "not being a quitter". Iknow what you mean by that but that phrase in-and-of-itself has nothing but a negative,
confrontational context for kids. Explain that it is about responsibility and commitment. This is one of those tough times that a parent must do what is right for their child even though it is not easy.
Have a heart to heart in which you firmly declare that the fact is that she
will finish out the season (s) that she committed to... and that being
a fact now we can discuss what you
do want to do once
this commitment has been fulfilled... softball, basketball, running, dance, etc. I think we all agree that our kids need some sort of exercise and we can certainly introduce them to various activities but having them involved in the decision process is very important.
Do not forget to impress upon her that you are very glad to involve her in the decision process but to remember that once a commitment is give there is a responsibility to see it through.
Hopefully she comes around, enjoys what she is doing and picks wisely (with your help) for the next adventure but regardless... most of our kids wont become professional athletes but with our help they will be healthy,
responsible, well rounded adults ... someday... now if I can just figure out how to get mine to hang up a wet towel...