To me sex is an important part of a loving relationship, but not the most important part. IF my partner was unable to have sex because of injury or illness, I would stay with him because I loved him for who he was, not just for the sex.
But what you are describing is different - and I can understand your hurt and anger (if that is the right word) your wife made a choice about having a sexless marriage but she lied to you about the reason, there was no reason for her not to have a sexual relationship with you other than her not wanting to. She deceived you and she took away your choice. As you say - if you had known she simply didn't want sex, you might have decided to end the relationship, but you didn;t have the true facts.
For me honesty and trust are vital in relationship and she hasn't been honest with you, that would be a deal breaker for me. I could live without having sex if that was agreed and there was a valid reason for it (even 'I don;t like sex would be acceptable if it was stated from the outset and I had the choice), But you have been stuck in a sexless marriage with a vague promise of future sex which your wife knew would never happen.
She was dishonest with you, I couldn't live with that - it was cruel and stringing you along. You have to decide whether you love her enough to accept the new situation that your marriage is sexless and always will be or whether you want to leave and find a more fulfilling relationship.
Another option if you love your wife and want to live with her still is to discuss your sexual needs with her and see if she is amenable to you finding sexual satisfaction elsewhere while still staying together (I know a couple who have this arrangement and it seems to work for them after a fashion although I wouldn't describe their marriage as entirely happy)
For me the sticking point is not the lack of sex, it is the deceit -s he always knew she wouldn't want a sexual relationship but she allowed you to think that she would, That is very selfish and cruel and I would personally not want to stick around with someone who had that little respect for me.
You know the truth of the situation now, so now you have choices which were denied to you before.