How long ago did you move to N.O.? Is tomorrow your weekly date night with your boyfriend, you mean? Then you have a first date with someone new tonight?
I can't really tell you what you 'should' do - but I can tell you what I would do!
I would probably stay, if it were me. But everyone reacts differently. My girlfriend would probably go out. You could always have a middle ground? Make the date really short, or something similar?
If you cancelled, what would happen? Would you have to leave the date until after the New Year? Would that be a problem for you?
Me: (30f) open poly
GF: (40f) My long-term, long-distance partner
Hubby (37m): GF's husband
Garcon (26m): GF's submissive/third partner
“Peace comes from within. Do not seek it without." ~ Buddha