You should not expect to receive an e-mail at the address you used for the key. None of the steps you did there are supposed to result in any sort of e-mail confirmation being sent by anybody.
During gpg --gen-key
you should have entered an e-mail address to associate with the key, and during the export you should have used the same e-mail address in order to tell GPG which key you wanted it to export for you. The e-mail just functions as a name for the key.
If all the GPG stuff completed without error, you should be able to go to http://pool.sks-keyservers.net/ and search the e-mail address you used, and have the key show up in the results list. If that works, you can continue with the next step of the tutorial:
Open Bintray's Edit Profile page and click at GPG Signing. Fill in both Public Key and Private Key using content in public_key_sender.asc and private_key_sender.asc files exported in previous step respectively.