I admire women who live alone and enjoy their lives to the fullest.
What I don't admire is a single woman who is "man hungry" and obsesses about finding a partner. I'll share quick story...
I worked with a woman in her 40's who constantly talked about finding a man. She was attractive but somewhat "showy" in the way she dressed. She was very successful in her career but a disaster in her personal life.
She met a guy her age on a flight to NYC and they hit it off. I think they were stuck together in NYC during 9/11. She was savvy in tech and somehow found out he was with American Airlines and had a wife. She still pursued him. When we attended conferences together, if her phone rang she would immediately put aside what she was doing and run to see if it was him who was calling. She was obsessed. He must have felt smothered because he ending up ending their relationship.
This continued with every man she met. I know because she would tell all of us who worked with her. IMO women like this just appear "needy" and they are last to find partners.
Amazingly, in her 50's and against all odds she eventually found a husband. I was happy for her, mainly because I didn't have to hear about it anymore!