She doesn't whine when she's playing because it very temporarily takes her mind off of the fact that her mouth is hurting her. Baby Orajel and Baby Tylenol is a must!! So, you will definitely need to get some of that and if the whining doesn't stop - it may just be that you have a needy baby.. Some babies are just like that, and if she's not whining during play time then let her play more often just so you don't have to listen to her whine. It's not as bad as it sounds. I promise! Babies need to play and as long as she is still eating and doing everything else she is supposed to be it's all good!
Hope this helps!
MJP