I have had 2 of my wisdom teeth removed, but not the other 2. however, they were removed years ago when I wasn't singing (I didn't sing except in the shower for many years between age 18 and 35). so I have no comparison of before and after because I don't remember.
but I have a feeling it will be awkward at first but that you will get used to it and adjust. probably won't take that long to adjust. month? depends on the person I'm sure.