The 국립국어원학습사전 has more complete definitions for 가다듬다:
brace; pull oneself together
마음이나 정신 등을 바로잡다.
To collect one's mind, spirit, etc. together.
몸가짐이나 자세 등을 단정하게 정리하다.
To straighten ...
호감 would be a good choice for your example. Although I have found 애착 is used in a dictionary, I think 애착 is more of obsession or attachment.
"We seem to like each other a lot, but he didn't show me ...