Well I'm 35 and in the same boat, so definitely don't think it's too late!
But like other posters have said you do need to be clear and upfront about what you want and weed out early doors anyone not on the same page. Men do not have all the control, and you don't have to behave a certain way or do a certain thing to get them to marry you/have kids. With the right guy on the right page, you can be whoever you are and express yourself honestly and it isn't going to scare him off.
Don't be afraid to ask men early doors what they want out of their futures. If they don't want marriage or kids or want to go travelling for a bit or aren't settled into a job/own property or not content with life - that means they aren't going to be ready for a while. Assess men on whether you think they'd be good partners with sharing a home/childcare rather than just whether they're nice or fun. Decide what YOUR deal breakers are for a husband and family and it will make dating easier.
Maybe also check when women in your family have hit menopause to get an idea of how many fertile years you have. You can get a fertility MOT too but it is expensive so a vague idea of if you are likely to get early menopause based on family history will be fine too. The reality is women can and do get pregnant 40 onwards too, so you do have time if you won't hit menopause till your 50s. But obviously you don't want to push it right to the last minute.
Mostly, DON'T panic. I know the feeling, it can get stressful and feel desperate. But it isn't. Keep dating, keep building a life that will attract people to it and don't despair.
There are men out there who want to settle and have kids too, who feel a bit desperate and worried too. Who are fed up of dating too. You just need to find them, and you will.
Read the Panic Years by Nell Frizzel btw. She writes about exactly this. So you know you're not alone!