If you have an iPhone, there are a few ways to delete your mail account. The first way is to go to the Settings app and select Mail. Then, under Accounts, select the account you want to delete. To delete all of your mail, select the Delete All Accounts button.
Tap Settings > Mail, Contacts, Calendars > Scroll to the bottom of the page and tap Accounts. Tap the account you want to delete. Tap Delete Account > Confirm by tapping Delete Account again.