keeping an email address private


New Email
I have my longtime email address ( a tpg one) and my address linked, with the tpg one as preferred address. I also have a hotmail address,in a different name, meant to be private from any other user to the computer. Recently , I linked the hotmail one to the others, not realising ( duh) that it would then be listed on the left hand side of my email page, along with the other two and thus become open to anyone . Oh dear , not what I meant at all. I'm nervous about just using the right click option to " remove" in case it actually deletes it and I lose years of emails.
I woud be very grateful for advice