I will emotionally neglected and am the opposite. I am a highly sensitive person and t said I have haver than average empathy. If someone tells me something sad I will start to cry. From what I read here soccer mom you have lots of feelings but perhaps it's difficult to express them, that doesn't mean it's alexithymia. How does this sit with you? For some reason it doesn't sit right with me about you. Your daughter was in pain and your were able to see that and acknowledge it but not express it. Perhaps this is because you haven't been supported in showing or allowing your true feelings.
Have you read the book running on empty? It's about childhood emotional neglect and it's quite good and might be of interest to you.