OK, I have repaired several of these types of splinters, the good thing is you found it in time.
Pull the bow back on your tree, pull it back enough to open the crack and put superglue in the crack while it is open. Wrap the crack with nylon serving thread extending it 1/2" past the crack in each direction. Soak the serving in super glue until it won't hold anymore, done
If you have a good shooter there is no reason to trash it for esthetic reasons.
As for durability, Tony heard the dreaded tink in an osage bow he got for a dollar chance at a fundraiser for the Alabama Children's Hospital, I had made the bow and donated it. When it tinked I was at the same shoot with him and a bunch of friends, the bow was snake backed and all of us together couldn't find the crack until he turned just right in the sunlight, Scott spotted it, it was on the edge and a lot like yours. I repaired it on the spot, the next day Tony was shooting it in the tournament.
The IBO at Pappys was coming up, the bow was the only selfbow Tony had so off to Twin Oaks he went.
The bow is still shootable but Tony retired after shooting it for a bunch of years after the repair, it had lost poundage in its later years and started following the string. He estimated he has put 250K arrows through the bow before he retired it and a good part of those after the repair.
I always try to fix them, just to see if I can, I don't always succeed but have made some pretty impressive saves so far.
Here is Tony with his second place trophy in the IBO Worlds in 2013, he was shooting his patched bow, a bow most of the posters here would would have thrown away. He is the big guy on the left, Nolan on the right was shooting a twin to Tony's bow that I made as well.
The other picture is a patch like I described on one of my bows, got ten years on this one after patch and it is still shooting.