I have yet to see any plant that likes to be underwater, none do. My yard is a mud pit, and is every spring, and ,my peaches are just fine thank you. The water won’t drain because the water table of the soil is saturated, it will drain, but may take 2-3 days to do so. When dry it takes 5 minutes, the soil is well drained, but when the glass is full and you add water it overflows. At my cottage is even worse, and the trees do not die. This is my cottage backyard, my cherry tree, dogwoods, and a beech tree are in this every spring, and any of them has yet to die.
The front yard is not any better, and I have raspberries, currants, etc, and they look great this year.
I have dealt with this for over 50 years now, as have many of my neighbors. There is no city water here, no drains, no pipes. Mother nature will dry this with time. I help with a sump pump, but this is in march and I don’t turn it on till April. A friend with a boat took these photos, i don’t launch my boat till April or later, it’s still in dry dock right now.