There is no thought in Tatsu's mind to start a new relationship. Her previous relationship ended too badly for her to trust. No. It would be more accurate to say that she does not want to take risks.
This time her katana was put on its stand in her house. Tatsu didn't forget about katana, she just wanted katana not to remind her of anything while she was spending time with you.
It's ridiculous, she shouldn't even know vigilantes but she knows you like back of her hand. Tatsu even learned your schedule so she could check on you sometimes. You weren't surprised, standing against wall and still smoking in mask as she jumped off roof right in front of you.
— "You look like a child hiding from mother."
Tatsu's tone doesn't hint at her attitude towards what you're doing here because even her gaze is looking straight at you.