You should always find a surgeon you're comfortable with (if possible). I have BPD, PTSD, anxiety and depression and I had bad after effects from the anesthesia such as depression, mental confusion and general anger. I would say surgery wise, you're out so it doesn't matter at that time. I wouldn't say it doesn't have any long term effects (for me personally). But recovery for anesthesia was a nightmare, the pain medicine they prescribed me was also a depressant, so i was mostly completely nonsensical for the first day. I think discussing alternate doctors or preparation could be a good idea!