I think canceling her trip could be just as bad as telling her your a CD.
Worried about your lack of body hair?
Simple - don't shave for the next two weeks.
Is it really that big of a sacrifice to make and it makes all the what do I tell her just go away.
Or stay shaved, and if it comes up just say in a joking manner oh I do it because I'm a CD'er.
If she laughs good, if she goes ewww well you have your answer.
Do a very good house cleaning being sure to remove/hide all evidence of your CD'ing.
Use this face to face time to discuss what both of you think of entering into a relationship of this kind will mean to both of you as well as what would happen if things didn't work out and you still have to work together.
There is nothing wrong with taking it slow or even just keeping in on a friendly level until later on.