In order to actually delete and close the Pinnacle email account you will most likely need to contact Pinnacle and ave them remove it. However, you can simply delete it from whichever email client you use and you won't see it any more.
It's all very confusing. The first one is not for use in Hotmail but is my email address for another provider altogether. The next two Hotmail address are correct so, how do I get rid of the incorrect one please?