I felt the same as you when I was a similar age! I then made a big mistake so I will share what I learnt in the hope that it helps you.
My mistake was that I went on a dating site and started to lower my standards, since I was anxious about meeting a man and starting a family before I 'got too old.' The dating sites themselves didn't help my fear since a lot of men my age and older set their age brackets to filter out women over 30 (depressing). This contributed to my sense of panic. I dated all sorts of losers who I would never have considered before but I was worried I was 'being too fussy' (it turns out I wasn''t being fussy enough).
I met a man who turned up clean shaven, showered, was polite, clean and seemed normal and respectable and he actually had teeth (you'd think that is a given but nope) and I thought he was my last chance, since he was the only decent seeming man on there. I entered into a relationship with him and he ended up being a domestic abuser. I believe he was a psychopath - a lot of them use dating sites and are very normal seeming and convincing until the mask slips.
I now have PTSD from domestic abuse and it has affected my whole life, my ability to work, socialise, go out etc.
If I could go back in time I would not have gone on the dating site at all, although the painful experience did teach me some massive, vital life lessons I am now very grateful for.
So basically, focus on you, your career, your friends, travel, hobbies. Learn a new language, learn carpentry, go kayaking, join a walking group, take yourself out on dates by yourself, read the classics, learn to oil paint and basically do all the things you have always wanted to do. Volunteer with an animal charity, become a youth mentor, set up your own business. If you meet a nice man during your adventures then you're free to date him but you're not putting your life on hold for him. Even with the nicest man, a relationship is restricting in many ways (such as having to spend weekends with his friends and family instead of white water rafting for example) so it's worth doing all of these things now anyway because you probably won't be able to if you become a wife and mother at least until your children are older.
I know a lot of women who got trapped with domestic abusers and are still trapped and they'd do anything to be in your position right now. Society tells women we are sad losers for being single. It's a lie. There are huge benefits to it, mainly, freedom and peace.
Wishing you lots of good luck on your journey!