Er... Account I guess

I have recently discovered that someone is trying to access my e-mail, most likely with one of those code breaker things or idk what. But when I log into my e-mail it says something along the lines of "someone is accessing your account, and we want to make sure it's YOU" yadda yadda, I could care less about the e-mail... but this account is on that e-mail and I was wondering if I could somehow switch to a different e-mail, I can easily answer the verification code, and I think that should be enough I have contacted hotmail support but they haven't answered back, in like a week.