Glad she's moving about and seems to be happy.
I think leaving wrappings off for a short period of time is probably beneficial. Let's some air to the wound. You're doing a nice job taking care of her.
Updated photos can be helpful.
I would not use a lidocaine patch. While there's some controversy about the safety of the use of products that contain medications that end in "caine" - some say it's fine to use for a short period of time, others say it's toxic...I'd opt to err on the side of...
It will be interesting to see how much she does lose.
If you don't mind, please do keep us posted on her progress and take photos along the way too. Photos often tell a story, and they help me and anyone else reading/looking for help in the future. Always something to learn.
I would look again and probe that leg a little just to be sure there's still nothing wrapped around it.
I do see some hairs in the photo, those may be after the fact, but believe it or not, a hair wrapped around a tiny chick's leg can result in cutting off the circulation too.
Do the best...
I see in another thread of yours that the leg had a band or something wrapped around the leg. Likely too tight and it cut off circulation.
Looks like you are treating the foot well. Yes, I think it will probably auto amputate.
Even though you chick suffered damage likely from loss of blood...