Alex, I presently have over 600 orchids, and if I totaled them all up over the last four years, I have grown twice that (I have a tropical plant business). I have used only tap water (with supplemental rain water when the plants are outside from April through October) all these years. When they are in greenhouses during the fall and winter months, these plants only get tap water. My water is city-water and is chlorinated. But I have good tap water with low soluble solids. The chlorine doesn't seem to bother the orchids at all.
All I can do is tell you what I do. You'll have to make your own decisions on how you grow this single orchid.