Can't tell from that pic if it's fertile or not. It's really a subtle thing to look for.
Is there a particular reason you ask? I just go on the theory of rooster = fertile eggs. My roosters have no problems giving me wonderful fertility when I'm hatching. Sounds like you're not looking to hatch, just eating eggs? So no particular reason, just curious?
Blood or meat spots don't indicate fertility. They're a glitch, usually a broken blood vessel during egg formation. Not a problem for the hen, just a kink her system is working out. Pretty common in new layers. The reason you don't see them in store bought eggs (much, anyway) is because they candle the eggs and pull any with spots to be used in bakeries, etc.
Lots of ways to store eggs. I don't wash and store on the kitchen counter. You can wash and refrigerate, that's fine also.
Congrats on your first egg! I've been raising birds 20 some years, and still get excited when a pullet give me that first egg.....