Ava as being thirsty at all. To me that would mean she was wearing sexy lingerie, purring, batting her eyelashes. There is very obvious sparks/heat coming from both of them. The biggest move I saw her make was when she moved really close to him and let him know she's someone he can trust or something like that. He also asked her to join him in a drink.
I am not seeing any thirst or even any major seduction coming from her. More than once she has tried to excuse herself to allow him to be alone and he has asked her to stay. They clearly enjoy each other's company.
To me thirsty = desperate and hard-up. I don't see her chasing him. They are subtlety flirting. A kiss is imminent though.
