When my firstborn was 9 months old, it was Valentines Day. As a gift to my husband and me, a friend and my sister got movie tickets, made dinner arrangements, and booked a hotel.
They both stayed in our home with the baby. So...we went to the movie then came home to check on them. Went to dinner, came home. Took the baby with us to the hotel because no way was I leaving him overnight yet. We only went to the hotel at all because it was paid for, but we'd have preferred to stay home.
So your anxiety? Totally normal. Go out, try to relax, but realize you might not. You can't force it, it will come later when you're REALLY ready.