Plenty of well-qualified lawyers didn't go to HLS. It's disappointing to be rejected, I'm sure, but I don't think it's going to have much, if any impact on your other apps.
It depends upon your LSAC GPA; if you have a high GPA they probably wont care that much about your major. If you're a borderline candidate, then this major might tip you away from the accept and into the waitlist.