It may not be much help, as the prices seem to be verging on the high, but I have been told that the Lausanne Palace and Spa do have english speaking therapists.. If you go on the website http://www.lausanne-palace.com/en/ you can download the brochure(s) in English. The beauty brochures (in pdf) start off in French, but then move to English. It seems a good place if you need a choice of at least 20 different massages, but I have never been, so cannot recommend it personally.
Edit: I have just been on tripadvisor, and read the reviews.. In general the commenst for the Spa range from excellent to good, but expensive...
http://www.tripadvisor.com/Hotel_Rev...anne_Vaud.html