I would never want a physician to do something/a procedure they are not comfortable with, but what you're saying just sounds...I don't now how to say it without sounding like a jerk....crazy. I'm not trying to be a jerk I swear.
Disclaimer: I'm a dermatologist, not FP or EP.
Lido overdose:
Follow that and document amounts. Could a rare untoward thing happen? Sure, but we are physicians. Part of our every day jobs include some amount of risk taking. I have been practicing for 5 years (with about 20 colleagues) and have never heard of a lido overdose happen...and we're sticking lidocaine in probably 10 or so people a day each sometimes.
Anaphylaxis? I suppose, but again, see above about some amount of risk taking. When you weigh the scales it is so much more cost effective for one to just drain an abscess in office than to send to an ED. Could an anaphylaxis happen? I guess. I think every good office should either have a crash cart of some sort if they are not close to an ED. Just know how to recognize Vasovagal and now how it's different than anaphylaxis. If you do any procedures in your office you WILL have people vasovagal. The first time it happens, it's like the end of the world...after that it's like, ok, this is a little blip in my day..no worries...nurse, can you get this pt in trendelenberg, get them some water/juice, and sit with them for 15 or 20 mins?
Major bleeding? from what? if you have an abscess on an abdomen or forearm, or back I'm not sure how that would happen with a simple I and D. I think out of 5 years I have heard of one our patients having to go to the ED for bleeding (someone tagged an artery...maybe peroneal? from doing a DEEP biopsy (not a simple I and D). If you have a hyfrecator in your office and some hands to hold pressure, you should be good in almost all instances.
Again, I'm not at all advocating for people to do any procedures they are uncomfortable with doing. However, the risks you list are so rare to happen. We as non ED clinicians should really be taking those risks (SUPER DUPER UPER low risks) so we can keep these pts out of the ED and let the ED docs take care of more acute issues.