Chrisanthy looks misspelled, so do Chrisanthi,
Chrysanthi, Chrysanthy. I don't even know which one is the original but the only one that doesn't look creative to me is
Chrysanthe. So
Chrysanthe would be the spelling I would go with. In any case I think having this name might be a bit of a struggle, People will misspell it all of the time. It does have a very nice meaning and a history, which is nice, but I really only like
Chrysanthe (I think this is the original, not completely sure). I would like to meet a
Chrysanthe but apart from the constant misspellings I also think she would likely end up as
Chris or
Chrissie which aren't appealing to me.