70 F. is minimum. There is no maximum if you have shade and ventilation.
This is probably not an issue for you in Mississippi and I NEVER want to disagree with Iddee
but for some of us in colder climates, waiting for 70 degrees is not possible. I have done them in much colder weather, the rain, sleet, etc. and been successful. That said, the bees were acclimated to our area and used to much colder temps.
When I do a cutout especially in bad conditions, I do as much cleaning out of the hive as I can before I address the brood. I remove it and get it banded into a box as quickly as I can and do try to save as much as I can, especially eggs. Bad weather cutouts for me are usually done early in the year and because someone has to have it done NOW. That means less honey to have to clean out and not as much brood. That's a good thing if you are trying to move quickly.
Somewhere on here are helpful hints for cutouts and equipment. I think everyone put their best info in there, so if you can find it, it's worth a read.
Let us know how it goes for you.
Ah, here it is
https://beemaster.com/forum/index.php?topic=13767.0