"I do still have my room at the tower- Friday will be able to provide additional security if we ask her nicely to help hide us." Friday may also insist on proper medical treatment but can be reasoned with, he's learned.

Thor steadies Clint as best he's able, considering their location, the tower, and adjusts his grip- how best to hold Clint without making him feel like a damsel?

On his back? No. Over his shoulders? No. The hug and fly is the most equal option available to them so that is what he does, gently tugging Clint into position and ducking into an ally for the usual windup with Mjolnir. "Hold fast- it won't be a long flight."