She tried to 'put on a brave face' [=she tried to appear brave or calm] despite the pain of the injury.
You can refuse to talk to her if you like, but you're just 'cutting off your nose to spite your face'.
They made it on time 'in spite of the fact' that they got a flat tire.
(..) That sounds like a picture I've seen. I probably wrote it. Well, I know it was moronic and infantile, and utterly lacking in any wit or believability, - but John and I laughed in spite of all that. - Have we been down this way yet? Was it? What time did you get in last night? Not that late...uh... (..)2011 Midnight in Paris