Jesse, giving it shade as suggested is the absolute beat thing you can do for a peony that is transplanted once the weather is warm. When established in the ground the plant will grow really small, hair like capillary roots and those are destroyed when it's dug and moved unless you're incredibly careful
and lucky. Without those little roots it's hard for the plant to draw up enough moisture to keep the foliage hydrated, even if it's constantly being watered. The shade will help keep the plant cooler and lessen its need for water and leases the stress on your plant. I'd leave it at least partly shaded through the hottest part of your summer but after the next several weeks you can probably move your temp shade so it's getting more morning sun, I'd just adjust it based on whether the plant starts to drip again. Best of luck and welcome to the forum! We'll make you a peony addict like we are if you stay around long, fair warning!