Chronology and other relevant info
Roughly 30 years ago (early-to-mid 1980s?), I read a paperback science fiction anthology which contained a story of which I only have fragmentary recollection at this late date. I do know that I found it entertaining at the time, but of course I was a heck of a lot younger in those days, and it may not impress me so much if I get to read it again.
I said I read this in the 1980s, but I believe the paperback edition of this anthology was already several years old at that time, i.e. probably published in the 1970s or even earlier. The story might have been even older than that.
I can't remember a thing about the title of the book, nor of this story, nor of any other story within the pages of the same book, nor the names of any of the authors. I have a vague idea that the art on the front cover of the paperback had a lot of dark green (or possibly dark brown, or even both)!
I strongly suspect the story was not written by anyone who is still remembered as one of the "Very Big Names" of 20th Century SF, or else I almost certainly would have run across it again since then. (For instance, if it were by Isaac Asimov, Poul Anderson, Roger Zelazny or Frank Herbert.)
Key plot points
The main thing I remember is a scene near the beginning (not necessarily the first scene, though). I believe it had the following elements:
The narrator of this scene was a female physician1, working in what appeared to be a "normal" 20th Century American city.
A man entered her office2, wanting to consult her. She had never seen him before. During their conversation, he said something weird/ambiguous/ominous/whatever, which somehow struck her as having threatening implications.
This worried the doctor so much that she calmly reached into the drawer of her desk and pulled out a handgun.
She aimed it at the man, and I think she then commented that with her expert knowledge of human anatomy, she would have no trouble shooting him in a spot which would not be fatal, but would be quite painful, and was likely to leave him in bad enough shape that he wouldn't be much of a menace to her before the police could arrive. (Or words to that general effect -- she may or may not have specifically mentioned the police, for instance.)
The man took it very calmly -- I think there had been some sort of misunderstanding here, and he had no intention of physically assaulting her -- and then the story kept going in weird directions and turned into some sort of time-travel story. (I think. Unless I'm mixing it up with something else from the same book -- who knows?)
I am sure that I have never run across that time-travel story again. I'm just hoping someone can recognize the story from this unusual situation of a female doctor, narrating to us in the first person, pulling out a gun when a patient says something that makes her nervous.
1. I found myself thinking: "Was she a psychiatrist?" But I cannot swear that she was, so I didn't go into the subject of her specialty, since I don't know.
2. I have a vague idea that the "patient" had entered her office under false pretenses; i.e. he did not actually have an urgent medical problem which he wished her to diagnose and treat. He wanted to make some sort of proposition to her, instead. But I cannot for the life of me remember just what the proposition was (not romantic!), nor what special qualifications she had for whatever he wanted her to do.