Even if a gallon of acrylic paint fell into a 10,000+ gallon pool, I don't think it would be any sort of problem. A 10,000 to 1 dilution of an organic that is nearly infinitely soluble in water (as acrylic is) should not be an issue. The resin and binder will just be dissolved organic solids and only the pigment might be visible. The pigment is the most likely of these compounds to be broken down by chlorine, similar to dyes you can add to the pool, since the same characteristics that make the pigment colorful tend to also make the chemical susceptible to more rapid oxidation (i.e. breakdown from chlorine).
To accelerate any such oxidation of the organics, you can just increase chlorine levels by shocking the pool. If you have measured Combined Chlorine (CC), then just keep the shock level until that drops to minimal levels (< 0.5 and usually <= 0.2) which should happen over time, especially with exposure to sunlight.
Richard