Not quite. It needs be somewhere without an owner who objects to the relocation. It's not required that the person being relocated finds it palatable. I'm not sure it's an additional obligation. It's more just a recognition that if something unwanted (person or otherwise) is on your property, your options are to either tolerate it being there or find somewhere to remove it to. The difference between a person and a downed tree, say, is that you aren't allowed to just incinerate the person on site.

I think the relocation needs to be plausibly survivable, because self ownership is the first established principle, with these external property rights coming from subsequent arguments. Basically, you can't just relocate someone to the inside of a volcano or toss them out the airlock, if they're only guilty of trespassing.