Here's the list of devices supported by fprint
For non -standalone readers, you'll have to look up the actual fingerprint reader embedded within it.
Edit: it looks like this is a Bluetooth keyboard. My guess is it's highly unlikely to work with Linux as a fingerprint reader.
Congratulations! I got my other ear pierced early in my transition (one was already pierced and just needed stretched). The best advice is to leave them the hell alone other than maybe saline solution. If you're like me, you're going to want to wear all those cute/dangly earrings you see everywhere now. Resist that urge as best you can. Give it time and let them heal. It can take up to a year for your piercings to fully heal and every time you change your earrings before that process is complete, you add time to the clock.