The "strange" quark is involved in hadron reactions which involve "strangeness", the property of hadron reactions that resisted explanation until the quark model was proposed. The quark model was widely accepted precisely because it explained strangeness, i.e. why certain expected hadron reactions did not occur (were "strange").
I liked the actual creator's (George Zweig) name, "aces". He saw the need for a 4th quark (charmed) before anyone else. I guess he would have called the top and bottom quarks "jokers" and flavors "suits". The history of physics has a few massive injustices, and this is one.