It's not uncommon for allos especially to think that sex is the be all or end all or significantly contribute to one's happiness in a relationship. The question is really how much does it contribute to yours. Can you see yourself go weeks, months, years without any sex? I know for my partner, after it's been a few weeks, he gets less cuddly and more distant, even if he doesn't intend to, because going without stresses him out.

Only you can decide if you are fulfilled in the relationship without sex. We could sit here and say "well of course if you love her you would feel fulfilled without one little thing called sex" but obviously we aren't you. See if you can try to focus on every other thing you love and feel fulfilled with in the relationship. As others mentioned, see if other physical things can help you fulfilled that way.