No, not at all. It has to be a problem at Google, because not only did it receive and accept the email from you, it copied it to your Sent folder.
So we have to go through the really obvious questions, I don't mean to offend, obviously, but we have to check everything:
- the from address and to address are identical. no differences in periods or punctuation.
- it's a personal gmail account, not a google apps mailbox alias or group alias.
- you're sure Google didn't think that it's Spam and throw it in your Spam folder
- you're 100% sure there are no forwards or filters on the gmail app. what happens if you check the mail with Thunderbird or Apple Mail or your cellphone? Without using Gmail on the web?