Probably shouldn't have done that.
>> I only see one problem — the guy with greyscale clasped hands with the Queen to seal the deal<<
Ser Jorah Friendzone...lol...poor guy just can’t catch a break. Anyway, couple things:
1) Greyscale is on his left arm, he used his right.
2) Targaryans are biologically incredibly resistant to disease. In the book she basically waltzed through the camp of Bloody Flux poxy death and didn’t fall ill - and Bloody Flux is HIGHLY contagious.