It’s funny, I actually wrote a couple thousand words for a TL with that exact POD (well, I had his fastest camel come down with mange before the battle so he wasn’t able to outrun the crusaders) but it crashed and burned before I was able to really do anything with it.
The short answer is that it would be a nasty mess for many years. When Saladin died in his ripe old age, there was still a violent succession war; here, we have Egypt probably making a play to get back the independence that Saladin had taken from them several years prior, we probably have one of Nur-ed-din’s relatives trying to get revenge, and we probably would have seen every last general in his army trying to gain power by “freeing” Saladin’s heirs and “serving” in their name.
The longer answer is that barring a few butterflies that really alter the situation, the Muslims of the Middle East have a major opportunity slip through their fingers. Poor King Baldwin was one of the few rulers of Jerusalem to actually have something between his ears, and while he would never risk the destruction of his army in a major battle, he can take some low-hanging fruit to consolidate the kingdom while enabling some key fortifications (especially the great castle under construction at Jacob’s Ford) to be completed or expanded. He never got that chance due to Saladin being able to control the terms of a potential engagement by his larger forces. Most importantly, if the Saracens are still divided during the reign of God’s Most Regal Idiot Godfrey, you butterfly away Hattin and the fall of Jerusalem.
Then there is the epic Saracen screw...
If there is still some division in the Muslim ranks and if there is still a functionally viable Kingdom of Jerusalem a century later, the Mongol Horde may very well be able to cut clean through to the Crusader cities on the Med, shredding Syria and splitting Anatolia off from the rest of the Islamic World. That’s not a scenario that one can really flesh out the full ramifications of, just that it would be epically bad to be a Muslim for several years if not decades.