I'm finished with peri/menopause now I don't recall depression but I do recall not sleeping well and feeling frustrated with the hot fushes (much betterr now :-) The physical changes alone could lead to depression/anxiety and one passes through this time of life.

I do not have children either and while I never longed to be a mother, after menopause and as I've gotten older there is a certain wistfulness I've had about the children/grandchildren thing, that we do not have children. Life has felt a bit lonelier at times for both my husband as we've realized the finality of that issue. Plus, we are at the age where we hear people gush about their grandkids and I'm not bitter about that but it does get old :-)

Your issues are your issues, despite what any medical provider says. We are all unique in how we experience life and the changes that come along the way.