I would put your own feelings aside and consider the fact that this person is in a position of authority/power in the academic setting, and that makes it totally innappropriate and unprofessional for an instructor to show interest in a student. I agree with BlueMax, wait.
I don't like to make assumptions about people without knowing them or the situation better, but if this person is a regular, professional instructor of any sort, then engaging in this type of conduct with a student should also raise some flags about this persons true character. I have been in university for a total of 11 years between undergrad and grad studies, and I have seen relationships start between instructors and students. Honourable people wait until the student/teacher relationship has ended, and every time those I've known haven't waited until later, one or the other really seems to be taking advantage in the relationships.
The posibility of the instructor taking advantage of you isn't the only side of this. Students can also take advantage of instructors, and if a relationship is discovered other students or administration, they will likely assume you are doing just that, or at least benefiting from the relationship. Even if both parties keep it objective and separate school and personal life, others cannot assume that is the case.