It still isn't clear to me whether your purpose here is inclusive (you don't want to lose the right to use "Python" as a trademark) or exclusive (you don't want this company to be able to use "Python" for its server products). At first I thought the former, but a close reading of your post suggests it may be the latter. Please clarify.

If your purpose is exclusive, then I can't support you. There is an open source Common Lisp implementation, originally developed at CMU in the mid-1980s, whose compiler is called Python. It is still in use. I think a compiler and a language are close enough that you have no exclusive right to the name.