Have you heard of the LPGA?
Prior to extensive back surgery in October, 2016, I was a 7-hdcp (from the white tees), 9th place finish in a tournament with over 3400 players, 2nd place Summer Solstice tournament (54 holes in one day) and Maryland Military Women's Long Drive top 5 finisher 3 years in a row. Once my rehab is complete, feel free to toodle on over to North Carolina, and I'll change your mind on that opinion. I fully support Augusta (or any other private club) excluding female players. Likewise, I would support a ladies only private club. In fact, any private club has the right to restrict its membership to whatever demographic it likes.
That said, golf is not a "men's only" sport by a long shot.
Good luck with rehab and get back on the course soon!