I understand the word- i just didn't know that I had ever heard of puffy nipples... ...it's ok, google image search taught me more than I ever wanted to know.
My nipples are a little puffy, I don't like them. They aren't anywhere near as puffy as the first page of google images though O_O
From what I saw, none of the images really fits the true definition. Puffy nipples describe not just the nipple itself, but the shape of the surrounding areola. I've done extensive studies in this field, including years of research. Okay, at great risk, in the name of science and edumacation, I post the following: