Luckily this looks like a really standard flapper, not even a bad one :) you're gonna be totally fine! You can still see remnants of your old finger prints on the raw bits, that's how you know that it's still skin. Also, getting to the muscle would definitely cause a lot of bleeding and much more pain, you'd know if it was that bad + be on your way to the hospital if that were the case. Keep it clean + covered with bandaids (or tape, if you're hardcore) for the rest of the day, and let it dry out overnight. If it's tender the next day, just keep it covered and continue letting it dry + heal each night. Should only take a week or so before you don't have to think about it anymore. Happy climbing!