I'm not willing to pick apart what Green said to try and decide what she actually meant - I took it as seen. She did not say that any hatred was because she was a woman wearing a dog collar - that would make a little more sense.
No - she said she was hated because she was a Christian, identifiable by a dog collar. I'm afraid I struggle to believe that - there's more to it than that.
Nobody, but nobody, should be hated just because of their beliefs. That's an ignorant and a shameful way to carry on. I stood behind a lady vicar in WH Smiths a week or so ago and we discussed the annoying habit they have in there of trying to flog you chocolate at the checkout. No "hatred" from me - why ever would there be? I also regularly pass the vicar (male) from the church up the road from me walking his dog. His dog is incredibly cute and I often stop to say hello to him (the dog) & have a quick chat about the weather with the vicar. Again, no hatred at all from me.
Anyway - the answer to the question raised by the OP, though, surely is "Yes". That IS what the Bible teaches, right? So, based on the Bible - should Christians be hated? Yes. Are they actually hated in this country? Generally - no. Thanks to our modern, secularist way of going about things as a society.
Italian Yes, I know that you "believe" Jesus was raised and that makes all the difference to you. I don't believe that, so I can't see any difference between Christians and their beliefs and any or all other groups of believers. If other people can base a belief on something that actually didn't happen, then why can't Christians?
I would also add that, personally, I think the very fact that Christianity survived at all is good evidence that Jesus never really existed as a man. Other Messiah claimants were around at that time with their groups of followers (loads and loads) and they tended to get disillusioned and give up when their leader died and didn't come back. Christians invariably take that to mean that, in their case, Jesus really did come back. That's one way to see it - but a more likely explanation (bearing in mind that the LEAST likely of all explanations is a miracle) is that he never actually existed in reality, so couldn't die and disappoint people. The myth just continued to grow and be added to by people as myths had a habit of doing.