I personally wouldn't be allowing anyone on your computer other than your own IT tech as you are typically leaving things in that internet providers own hands with regards to the way they see how things are installed. For example, it is not uncommon for them to either remove your existing antivirus or disable certain features of it just to solve the problem they are having..
A client of mine recently contacted me stating they had been speaking with their internet provider who also handles the email account and they figured it to be an Outlook 2013 issue. I wouldn't be allowing them anywhere near my computer let alone connecting to it! This seems to be an ongoing trend with these internet providers whereas in the olden days they would never touch your computer and if you required a network card in order to get connected to the internet they would just tell you that and would not install one. They typically don't want to be 'responsible' for your computer not functioning properly "after" they have worked on it yet these days they don't even think twice about connecting and checking out the problem. Where I have real issues is the way that they connect, and when they are finished and disconnect, the method in which they connected in the first place is still left connected, basically allowing a back door for the next person to come along and get connected. I guess in a way this is one more reason why I would be moving away from the internet provider's email account sooner rather than later. That way the only reason you would be contacting them is if you have no internet connection and for that, they won't be connecting to your computer because they can't get to it if your internet is not working!
The best solution is to get yourself a web based email address (Gmail) would be my first option as their email is most user friendly with regards to utilizing imap servers and other apps for your phone and tablets. This includes those on Apple devices. That way you can still keep your internet providers email account however now you can allow gmail to go and retrieve the mail from it instead of your outlook email program directly. Then your outlook email program is only synchronizing mail through the gmail account's imap server which means all of your mail is still retrievable from other devices all the time. Not only this but once you have a gmail account set up, using Chrome (currently the best web browser on the internet) can now save all of your settings and allow you to use your bookmarks on other devices as well, without the need for additional plug-ins/extensions.