It's not only men who go through this, so don't worry too much about it and don't give up entirely. In their 20s, women will be picky about their partners, just like men are. But the older people get, the fewer requirements they will expect a potential partner to meet. On top of that, women have to deal with their biological clock, so there's more pressure on them to get kids on their own; men can still become fathers at a (very) high age, women can't become mothers at a high age.
So while it may seem impossible at your current age to find a partner of the same age, your chances for that are going to improve the closer you get to age 40 and above. Right now it probably won't feel uplifting that your only ticket to family may be one out of pity (I am having a bit of trouble to word this appropriately), but by the time it happens you wouldn't mind, because any ticket would be considered better than none.