He doublechecks the bandages to make sure she won't lose anymore blood then picks her up, cradling her in his arms.

This is one of those times being an archer is useful and he's not even aware of his back at the moment, just getting her safe.

As quickly and gently as possible, he moves down the stairs to the infirmary, talking all the while,

"Kate, love, look at my eyes, look for Sherwood, she'll keep ye safe for ye're a 'ero, brave an true. My lady love, who would fight 'gainst all who stand 'gainst 'er."

As he passes through the Bar, Will calls out,

"Need a 'ealer, please, ye must save 'er!!"

Then disappears into the infirmary to gently lay Kate on a bed, talking to her all the while and never breaking her gaze.