If you signed up with a yahoo email address for example, it would (I think) let you login with a yahoo account instead.
It's a sad day in the community when you detract from the release of this site by chosing to point out and upvote the negative feedback. The least you can do is follow the general rule of thumb to provide some positive feedback followed by any qualms you may have.
My first inclination was to comment this is a cool idea and was glad to see that it had integrations with GMail and Wordpress. For Wordpress specifically, there's draft mode, but that doesn't afford you feedback directly in context of an article.
Here's a less blunt version of @sixQuarks's complaint, which I think is completely valid:
Poetica has unnecessary friction in the signup process, and the very existence of this friction implies that the founders might not have thought long & hard about what kind of users they want to attract. IMO, people who write a lot and use Markdown to do so are more likely than the general public to be concerned about the privacy implications of social login and therefore wish to avoid it. Poetica also seems like the kind of product that could benefit from a quick online demo right on the landing page, but the founders chose to require signup first. Both of these factors are surely detrimental to their conversion rate.