Throughout the U.S., chloramine (a combination of chlorine and ammonia) has been added to the public water systems as a disinfectant. Chloramine will kill the beneficial forms of bacteria in the compost tea. Unlike chlorine, it remains in the water through an aeration process or letting it stand overnight. It must be neutralized by adding a water conditioner.
Since chloramine can be deadly to fish, most fish and pet stores carry water conditioners. One brand is Tetra's AquaSafe. It is labeled to neutralize chlorine, chloramine, ammonia and various other chemicals. Apply per the label, which should say 1 teaspoon per 10 gallons. Using the neutralized water, dilute your compost tea in your pump sprayer.
When I make tea I aerate for 15 - 30 min. Then I add a handful of compost and bubble for another 30 min. This handful of compost is meant to neutralize the chloramine. Chloramine binds with the organic matter in the compost and becomes inactive. Then I brew my tea as if I was working with clean water all along... compost, rockdust, etc. etc. If you want an extra measure of protection you can add asorbic acid (vitamin C) to the water. Just buy a bottle of vitamin C tablets. Break one up and add half to 5 gallons of water. This will get rid of chloramine as well but I rarely use it because the above method works well.