After reading into the situation more thoroughly, it seems the term can be perceived as derogatory by nationalists. I'd like to mention that I did confer with Irish friends of mine, all of whom said that the term is acceptable here.
Despite the fact the term is clearly used as exclusively geographic in this quiz, and not suggesting that Ireland is claimed by the UK in any way whatsoever, I have decided to include "Ireland" in the title of this quiz now, simply to appease both sides. The quiz will continue to use the accurate geographical term of "British Isles", but also include Ireland separately to stop this debacle.
It turns out when people post several long comments on your quiz complaining so vibrantly, most creators are bound to succumb to the stress of it at some point.
I hope this appeases your concerns, and I'm sorry if the term caused you distress, this was obviously not the intention of the quiz