I think the best "term" you can use here is "side effect free". I almost wanted to say "pure" would work, but there is no real requirement that GET always return the same thing: it just needs to not change the state of the server in a way that a later GET could detect (although, honestly, you really only practically care about "find bothersome", and if there is a term for "bothersome side effect free" it would probably be from medicine and not computer science).
