What does it mean?

It’s not a matter of belief and it shouldn’t be. If the question is “do they have roles?”, all you have to do is ask around. Find a woman and ask her “what do you think your role is as a woman?” If she can answer this question, sure, yes, she has a role. Look up some sociology studies that asked this question to a large number of people and summarized the results. Then you will know what an average woman or man thinks their role is.

No belief needed thus far. Now, if what you’re really asking is “should they have roles?” then yes, of course, it’s wrong to believe they should have roles. It’s equivalent to believing they should behave how you like them to behave, rather than how they want to behave. It’s equivalent to asking if it’s okay to be imposing your will on them, even if only mentally. No, it’s not okay. And much more importantly, you shouldn’t impose any kind of “role” on yourself either. This is just cruelty to yourself. Be however you want to be and do whatever you want to do.