Hostgator does support wordpress blogs and most if not all other web hosting companies should support support wordpress as well.
I would recommend looking at some other web hosting companies though since Hostgator was sold to EIG and it's best to avoid any EIG hosting companies.
Look on
http://webmasterbabble.com in the advertising section and you'll see lots of great non EIG hosting companies advertising in the advertising section of webmasterbabble.com webmaster forum.