Why does attachment have to "make sense"? It's a feeling and feelings are feelings, not thoughts; only thoughts "make sense".
Does your attachment to your friends "make sense"? T is someone you have met who is helpful, why would you not feel good around that person in that situation? I've had attachments to bosses, miss my father-in-law as a person more than my father though both were wonderful men, both of whom I loved (both are deceased), who we are attracted to is not for making sense, it is for enjoying.
Feelings are information; they are your emotional eyes that tell you about how you relate to the world around you, the person in front of you, yourself. If you don't like T, you don't attach, you repulse and move away. Now go eat your vegetables, they're good for you