Part of my gums (between my teeth) seems loose, why?

A week or so ago I burnt the roof of my mouth (right between and behind my two front teeth) eating food. It was a little sore and swollen but it was fine. A couple days later I was eating corn on the cob and it was really hot but I'm stupid so I ate it without letting it cool down, and I burnt the already-burnt spot even worse. It was really painful, and really swollen, so I didn't touch it and I was careful eating.

Anyways I have a gap between my two front teeth. It's healed now and it doesn't hurt, but I can pull that piece of gum down from between my teeth now and it's kind of freaking me out. Like I said, there's no pain, but it's annoying and I'm worried. I did a Google search and I got a bunch of results of gum disease, but this didn't happen until I stupidly burnt the **** out of my mouth, and I brush my teeth twice a day and try to floss once a week, so do I need to worry about having gum disease?