Cold coagulation questions after treatment

So, I had cold coagulation just over two weeks ago..

 

I have the coil in and they didn't remove it to do the treatment..will my strings still be there or will the treatment of burnt through them?

 

On my letter it said about having a local anesthetic while they do the treatment..but when I mentioned it to the man doing my treatment he said no I won't be giving that today and did it without one is this normal? My gp was confused why I didn't have one?

 

I also wish to have my coil removed how long will I have to wait before I can do this? It's really not for me at all and now I don't know how long after the treatment on my cervix I'd need to wait for it to be healed?

 

I have so many questions and I have absolutely no one to ask them...

??