Is it all right to rinse off the Kombucha colony with tap water?
No. Chlorine can cause damage to the Kombucha colony. The best way to clean your colony (to remove the brown stringy yeast etc.,) is to simply bathe it in some of the kombucha ferment it came out of. This practice will also serve to maintain the pH of the colony. Washing it in water–even cooled, boiled water, could change the pH and make it susceptible to mold growth.