Monk,
I could not be happy in a completely sexless marriage. No amount of acceptance attempts on my part would ever fill that hole.

My husband could never be happy in a marriage that did not include quality time. He would become increasingly angry..despondent..disgusted, etc.
Would he ever reach a level of "resigned to the situation but still cheerful?" No way.
I worked a job in which I traveled a large amount and was gone a lot. He hated it. He never accepted it and pouted every time I had to leave. He simply did not feel that it was much of a relationship without my physical presence in the home the vast majority of the time.

Everyone is different. I'm sure that your wife has some need that if not met would totally unravel her love and commitment to you. It isn't sex but there is certainly something that she feels is THE necessary component for her devotion to continue.

So to answer your question, YOU might not be able to fully love without physical intimacy occurring, but your wife can.
My husband would not (I suspect) be able to maintain his love for me if I did not spend lots of time with him and make this home, and him indirectly, a huge focus of my attention.
Everyone is different but I can't imagine that anyone has the ability to go through life with their major need unmet and still proclaim marital happiness.

hp