'What word offends you?'
Words are, at their most basic, just sounds. I've never understood how a word within itself can offend someone; obviously I'm making a complex language system sound simple as words hold connotations, but yeah.
A word, to me, is only offensive in context and it depends on what its intent is and even then I'm virtually not ever that offended by words. If a friend was to call me a 'fucking faggot' or something (and they do, as I've made my stance on it clear before) then I'd joke around with them. If a stranger in the street came up to me and said the same thing then I'd likely be offended - but then that's because of the liberty of a stranger coming up to me and insulting me, not the specific words themselves.
So yeah, no words offend me unless they're intended to offend.