I just helped a friend that had the My Weather email show up on her Mail app. She had no idea how the email account got placed in her Mail app, and the symptom that prompted her to ask for help was that she could not send any email form her Hotmail account. Every time she attempted to send email out she was getting a message that said "the IMAP server rejected the message".
Looking into her Mail accounts we found the "My Weather" account, with an unknown user "insistentJ@email.minbox.com", and also found an alternative IMAP server added to her Hotmail account settings, so it is quite possible that the emails sent from her phone were being sent to a malicious site. I disabled the alternative IMAP and deleted the phony user's password but couldn't delete the .minbox.com email account, then found that her hotmail password had been changed. It appears that the latest versions of this trojan profile are attempting to do more than spam the unwary user, but they are actively changing settings and passwords.
The best thing any user with this problem can do is to delete the profile as shown in several of the responses in this thread, then change all the passwords of any accounts enabled in their iphone. Reinstalling the iOS, while extreme sounding, might be the safest course of action.