Credit Tyrion for having a way with words, plus she's running short on advisors.
See. I understand why -given the circumstances & Tyrion's wit- she would eventually trust him enough. He went as far as to say that she needed to prove herself worthy as well.I think the scene with them made it abundantly clear that she is craving sound advice from someone. She is young and inexperienced, and her advisors since Jorah left have been next to useless.
My problem is with the pacing: the whole exchange took just a few minutes and all in the same episode. The directors should probably have spread that moment a bit. But I guess they wanted to pack the last 3 episodes full of exciting moments.
Still, I enjoyed their combo, and can't wait for my man Varys to arrive. Hopefully along with Illyrio Mopatis (the rich merchant). Think we have not seen him since he gifted the 3 Dragon eggs to Daenerys.
But after the showcase of the White walkers, not sure how invested I will be on Arya's assassin quest line. I like her, and Jaqen, and she + Gendry no doubt will have a major part later on. But it all seems so inconsequential at the face of the Winter invasion.