OP, I'm you, but 7 years on.
I was 'single and childless' at 38. I thought, well that's that then. I focussed on my career, saw family and friends when I could. Yes there is a lot of alone time - I lived by myself for 13 years - thank god for books, TV, the phone.
I would probably now tell myself to get out more and find new interests that would introduce me to new people - I was never very good at that. There are so many groups out there and I think we all have untapped interests and passions.
On a rare night out I met someone. Drinks were involved and some pushing from a married friend, but he and I dated, fell in love, married, and against most of the odds had a healthy baby just before my 43rd birthday.
So life has changed. Now I barely get any sleep and 'work' is the only time I get me-time. My idea of a good time is stopping in a lay-by while my toddler sleeps! But yes, I am happy, tired and happy.
I would tell my 38 year old self that things can change in a matter of 24 hours. I would say the more you focus on what you like, where you like and who you like, the more you will inhabit yourself and the chances of meeting a like-minded person the better (looks have nothing to do with it - some of the most unattractive people I know are very happily married!)
FYI my perineum has never been the same.
Good luck xx