I would probably boil the chicken for a couple reasons:
In the off-chance there are parasites, cooking it should kill them.
Raw chicken can carry Salmonella. I'm honestly not sure how much of a risk Salmonella poisoning is to turtles, but since they can carry Salmonella as well, you could increase the number of bacteria on your turtle and in the tank. Which also might not be too much of a problem provided you regularly wash your hand after you handle your turtle or touch the tank water. Here's the CDC article on chicken and Salmonella poisoning) for reference.
You would be able to boil off most of the fat, meaning less fat that your turtle eats.
Other than that, if you're finding that the food clouds up your water a bit, that might be the egg yolk breaking up. In that case you could possible try using the egg white as the binding material instead. The egg white doesn't have as much protein as the yolk, but I don't think it will matter since you're also including chicken. There's also an alternative to gelatin that's made from seaweed called agar that might be worth looking out for.
You could also use the egg shells, ground up to a powder, to give a bit of a calcium boost to the food.
Other than that, I'd say it looks like you have a pretty good balance going of fresh and commercial food.