'the account' covers quite a lot of territory. If you are using a Gmail, Yahoo, Hotmail or similar account for testing you are unlikely to succeed. Those services grudgingly pass on email if everything about it is perfect. If you are lucky, it makes it to the spam folder.

Go to www.dnsstuff.com and do a DNS Report on your domain. Check the mail section, and fix anything it complains about.

Make sure you have a send from and a contact us email address defined in admin-config-email options, preferrably addresses from the store domain, and set 'must send from known domain' . Try 'sendmail -f' and PHP as transports, and send to either another store domain email address, or a non 'free web' email address.

If you have to use a free service for the destination, 'whitelist' your domain before you attempt the send.