Mandy,
Ppl with cold hearts do not wonder if their heart is cold. It just IS! You , on the other hand, are concerned about this perception that you have a cold heart.
From the many responses you've received you can see that others are not in agreement with your guess of possibly having a cold heart. Takes a lot more to fool this bunch!
What you've written about and shared here shows me a person who is thoughtful, intelligent, and TRYING!!! You're working at this and it shows. You're facing this issue in therapy.
Keep at this. You're very human not frozed hearted