It could be wilt. In any case watch the tree it may have something else wrong with it that can’t easily be identified and the tree will recover. After heavy rains where the ground stays mushy for days after the rain stops I have had trees with limp leaves that eventually recovered.
If the tree dies you could replace it with a tree next Spring. In general, BlackGold, WhiteGold, Emperor Francis and Black Tartarian are sweet cherries well suited to Eastern conditions.
Here is a thread talking about growing sweet cherries in Eastern conditions.