But why don't you want to become dependent and attached to her? If you would try to forcefully keep yourself becoming attached and dependent then what's the point of going to see her in the first place?

To answer your question though, the way to not become dependent on T, or rather, how to become independent of T, is becoming independent/autonomous e.g. becoming dependent on yourself (and not in a dismissive and avoidant way). The only way to there for some people might be through dependence and attachment to their T.