Hello, this is Emily.
This email address is legit. It is possible that someone set up their account using your Gmail address, can be due to typo. And they probably have trouble signing in now hence they tried to reset password. In this case, your gmail is completely safe, it is just a username for Microsoft account, but not your Microsoft account.
What you can do is go to https://account.live.com, use tha username and use the "cannot sign in" option to see if you can reset the password and get in. If you can, close the account.