No name referring to any group of humans, living, dead, or extinct may be used, since this will automatically be considered to be some form of racism or stereotyping. Even an occupation could be considered to be discriminatory, both by members of that profession as well as those that are not in that profession.
Animal names must not be used. To rename your team the poodles would be an obvious reference to the abusive practice of forcing innocent animals to fight each other.
Since sports have winners and losers, scoring must be removed to avoid hurt feelings. Also, most competitive sports are just substitutes for warfare, so sports will now involve events which are entirely non-competitive. The concept of teams is exclusionary to non-team members, so from now on, all faculty, staff, students, alumni, and guests are to be included in the non-competitive, non-scored sports.
Upon closer examination the West Hill name also has to be changed. Undoubtedly, there's someone living to the east of that location who would feel excluded by the term "West" in the name. Those not living on a hill could easily perceive the word "Hill" to be discriminatory against those who's living space is disadvantaged by lack of altitude. To keep either of those now forbidden words risks offending the sensibilities of others.
Your school can now be knows as the Omni-directional, Variable-altitude Friendly and All-inclusive Vegetations. Everyone present is invited to participate in today's sporting event - laying on the ground, looking up at clouds, and imagining a better world were everyone is happy all the time. Cloud interpreters will be on hand to help those who are visually impaired. Imagination assistants will be available for those needing assistance.