Bachelorhood may end up being your thing, but I will share this: some older women come out of divorce wanting a lot of space. (I know some who have shared that sentiment.) They would love some companionship, but they want their own home/space. They enjoy their own independence, too. Perhaps a relationship like that might be a better fit for you.
Best of luck as you continue your soul-searching in determining what is the right thing for you!