No one can see your email address when looking at your profile. Skype stores it so that friends who already know your email address can use it to search for you.

To add your email address to your profile, or to view or change any of the details in your profile:

1. Sign in to Skype.
2. In the menu bar click File > Edit Profile.... Your profile displays in the main window.
3. In the Add Email Address field(s), enter an email address.
4. Press Enter on your keyboard to save the changes.