Would you find it odd/uncomfortable to read a story with a first person female protagonist/narrator but the author of the story is male?
No.
Some people seem to have that problem with the relevant portions of Franzen's
Freedom.
I don't know of any examples of this. Actually, for the most part the narrator is usually male or 3rd person in the books I've read.
Even 3rd person narrators frequently tell events largely from the perspective of one character (if frequently different characters in different parts of the book), so the difference is slighter than you think.