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How long have you had it? 19 days

What is the water temperature? 80
Did you use a thermometer? Yupp
Are you using a water heater? Yupp
How much water is in there? About 10 inches (because shes not breathing well)
Are you using any filtration? Yes

What have you been trying to feed it? Tuna soaked turtle pellets
When was the last time your turtle ate? Last night

Have you read the Basic Care section? Yes
Have you searched the forums for similar situations? Yes

Is there any other unusual activity/symptoms?
Yes, Grungy has a RI which is being treated with injections but I found this green slim on the bottom of the tank and I cant figure out if its poop or puke. She hasnt eaten anything green so I'm leaning towards it being puke but its weird because its such a bright green!
I know the warm water is to loosen up her infection so I'm kind of hoping thats what it is because then its getting out of her system but I've never had a turtle with an RI before so i dont know if this is normal??w big is your turtle? 8 inches

From the picture... It looks like algae to me. I'd like to hear what everyone else has to say, though.

That would make sense but she was in a clean tank...I'm really confused by it!

The picture is not visible anymore but from your description, I'm guessing it's algae, especially since you say that the water is warmer.