I actually didn't see the logical link between one and the other. Your sentence, to me, sounded like "if one bad thing happens to someone, it makes them weak". I'm still not sure I see the link with the circumstances, but I get that you didn't mean it that way.
Psychologically speaking, given how I imagine/what I'd got from the previous characterisations of the characters, Dick's reactions seemed in character to me, and I'll admit that it's the most important to me.
If Dick was a girl and she'd reacted that way, I wouldn't have called it misogyny. I would've called it "Oh, god, Dixie, no," exactly the way I reacted when I read this chapter.