I'm sure it's the wordpress installation, as I can receive CF7 emails from my other wordpress site, hosted by the same host (000webhost).
I just don't know how to -fix- it. I've tried upgrading/reinstalling wordpress. I just don't know where the mailing things are handled. Unfortuantely, it's a bit over my head. I know just enough to install wordpress.
I think my 'issue' now, or at least the easiest one to resolve, is that I cannot send my 'lost password' email (I Don't need to reset it, it's just an easy test). As it's no longer a CF7 problem, I probably need to poke at Wordpress general support.