Privacy

I'm being asked to go to another email to get a verification code to sign into my email. They say this is for security but doesn't seem to be for my security just Microsoft collecting user information. The email I'm being asked to go to is my wife's email this is a completely separate account from mine , I do not want them connected. The connection between the two, I don't believe was given to Microsoft, I think it was collected by the fact that both accounts are accessed from the same computers and frequently exchange data. I think this is an invasion of my privacy. Even to post on this site I had I had to agree that Microsoft could collect and use my data a forced invasion of privacy to get service. How else  can I get my email account  verified without them connecting these two different accounts? I use my personnel account for buying and selling on  online auctions or making comments to online discussion. Neither concerns my wife's accounts.