+1 for the above
You would want to avoid UV when treating with medication as in most cases it will break down medication making them ineffective, and sometimes the breakdown of these medication can create toxic substances.
Most copper used in medications is combined with other components or substances to make it easier to control during quarantine, UV will break these bonds and overwhelm the fish with large concentrations of ionic copper which will be toxic. One of the LFS in my area tried running UV + pure copper but at very low concentration, it didn't work and his fishes got infested with all kind of diseases (at least they didn't get poisoned, but now he changed to regular medications without uv but that experiment was expensive).
Anyway, I wouldn't worry about cloudiness in water, most likely its a bacterial bloom since its a new qt and will have no effect on the fish, it should clear up on its own within few days.