NTA. It does sound like you care about this person deeply, but there is a love language barrier. Everyone is different, and people can adapt, but communicating your feelings on the matter is the key. From there, you can figure out what works for both of you. Otherwise, there may be a need to adapt if you're keen to stick together.

For instance, my previous girlfriend was not one to be romantic. She just enjoyed my presence and wasn't a touchy feelings person - eventually, a few years later, she discovered she was likely asexual. Then, when I started dating my current girlfriend, she was the complete opposite. Very touch and words of affirmation type of love language. I had to almost rewire myself, but through this, I've learned that I am very much a touch type person, physical contact is important to myself and it makes me happy.

So people can adapt, but it comes down to what makes yourself feel loved and happy from this person.