AOG - //Does it make one a bigot if one does not choose to live next door to a travellers site, or to have one at the bottom of one's garden?
Or does it only work if Muslims are concerned? //
Choosing to live, or not to live, anywhere does not make someone a bigot.
A bigot is intolerant towards an entire grouping of people.
You can have reservations about the behaviour of a local traveller community, but adopting a position that all travellers are trouble simply because they are travellers, and based on nothing else, makes you a bigot.
Of course, bigotry is a broad church, and it is possible to be bigoted about an entire range of social, religious and ethnic groups.
Some prefer to narrow down their bile for one particular section of the world's population - say, Muslims for instance.
I cannot believe I am telling you something you do not already know, but since you asked, I have answered.