Here in LimeSurvey or outside it?
As this forum is about the software Limesurvey, I don't think any of the sub forums here is the right one. So yes, outside of Limesurvey.
You are asking about how you should call a certain country, which is certainly not the scope of this forum (which is about the survey software). It is not a software issue and it is not even a real "research issue".
I don't know what to search for. You will need to find articles about the topic.
I personally would probably go with whatever the UN is calling Palestine. No matter what you call it, as it is disputed there will always one side that is not happy with it. So go with what one of the most influential international authorities in this aspect says. At least you can blame them later.
But as said before, we are no experts on this topic, so you'd rather find a site/forum that has more knowledge about this topic. But at the end of the day, no one can really make the decision for you.