I called Tyreese taking Judith out of the prison, Tyreese hooking up with Carol after the prison, Bob being bitten in the food bank. Rick has forged his group into a hardened group of guerilla fighters. Carol almost singlehandedly took down Terminus and it was through intuitive thinking and making due with what was at hand. Daryl knew the people in the car with the cross were potentially dangerous., They would have approached with caution and I doubt Daryl and Carol would get ambushed. Noah would have told them the score at the hospital, how they didn't tolerate strong people. Carol would definetly be perceived as weaker than Daryl and the obvious choice to go in to the hospital knowing what to expect. Much like Rick and crew dispatching the remaining Termites, they know how to assess their adversaries and what actions to take to make sure their objective is met. If Carol managed to get hurt somehow it would take away some badassery points she gained by saving everyone from the Termites.
