I think it was originally hoof-and-mouth, because it only had to do with animals, but them when humans got sick they decided that foot-and-mouth would be more apposite because humans don't have hooves.

as i understand it, people can indeed get infected but the infection is temporary and mild and is not considered a public health problem. the disease gets its name from the blisters that appear on infected animals' tongues, teats and hooves.

On second thought that doesn't make much sense because feet have nothing to do with humans getting infected, oh well.

Existing lesions on a human's foot could cause him to contract the infection, as could inhalation, exposure to the virus in laboratory conditions, or drinking infected milk, but not by eating infected meat.