Not everyone bleeds their first time. The hymen doesn't cover the opening of the vagina. It's not something you have to "break" to have sex. It is more like a stretchy ring of skin around the vaginal opening. Hymens sometimes bleed the first time, because they are tighter/tougher. But some people's hymens' are naturally stretchy or just out of the way. Sex can loosen or tear a tighter hymen, but everyday life, and friction from clothes, menstruation, or just biology can wear away a hymen as well. And sometimes a hymen doesn't stay loose, and if you have sex, and then wait a long time till you have sex again, you might bleed again. In other words, "bleeding" doesn't prove your virginity.
There is no medical definition of virginity. It's all just culture. It changes through history. There is no real test to prove your virginity. Many modern women define their virginity differently. There are many types of sexual activity. Some people count all experiences as "sex," some believe they can do everything but penis-to-vagina sex and still be virgins, and some still consider themselves virgins until they have sex with someone they really care about. It's up to you.
Men aren't forced to prove their virginity. They aren't subject to the same pressures as we are. It's just not fair. They can do scandalous things just as easily (if not easier) as we can.
No body has to live in your body, but you. duh.