And soon after: "Eleanor was still red, but she looked encouraged by the crowd and continued making her way towards the bar."
That doesn't work.
Someone can "give you courage" in the meaning of making you braver, but "to encourage someone" means to persuade them to purse an activity, like parents making a child take up a sport or some other hobby. It isn't applicable to a single action, nor does it mean "make someone brave", so it can't be used here.