You might want to keep her isolated until she gets back on her feed and her feet so the other fowl don't give her a rough time at first. but really this isn't all that stressfull for a chicken, BUT, the other fowl will take advantage of her weekund state and they can get pretty rough sometimes.
Now you can at least give us a post to say how things went if it's not to much trouble. You had $10.00 in your pocket when you posted the question and you should still have it. So enlighten us that helped to hear how it went. If you had trouble we might be able to give a few more tips if you need them. I hope it went well for both you and your girl.
I'm genuinely interested to know if she and you got along all right. By the way don't pay the vet for this problem it's to easy to handle yourself.
Sorry, the temp shouldn't be a problem if she is well feathered. 39 degrees isn't that cold for a well feathered chicken, especially if she is mature. the only problem I can possible see is if the other fowl move her to the bottom of the pecking order and peck the bandage off or disturb it badly. they are also bad to cause injury to the head and eyes from excesively pecking at her. you might watch for that if it happens bad then move her inside again. I sure hope this has helped.