I wasn't angry at Brienne being emotional. It makes complete sense that Brienne would be emotional in-context.
What made me mad — and what I think is awful writing — is Jaime sleeping with Brienne to begin with, if he was only going to abandon her within hours. Brienne's self-perception of ugliness, and her life's events, have traumatized her. For her to lose her virginity to and feel loved and accepted by Jaime, only for him to abandon her, would compound that trauma and self-consciousness tenfold.
Moreover, that that could be Brienne's endpoint is just... it's all disgusting treatment of her character. It wasn't enough that these people write Brienne to often be largely opposite to her deeply empathetic, kind, and chivalrous book counterpart (see: her inexplicable bullying of Pod in earlier seasons), but they had to tear her down in the end, too. (I mean, the prior scene where Tyrion called out her virginity was already extremely mean-spirited. Both Lannister brothers come off as awful people in this episode.)
To circle back to the original sentence: women can be emotional. That's fine. What this episode, did, though, was have all these ostensibly Reasonable Men and Emotional Women. Jaime preyed upon and damaged Brienne emotionally. Tyrion inexplicably tries to reason with an inexplicably visibly emotional Cersei. Varys and Tyrion undertake an elaborate effort to gaslight the audience into thinking Daenerys is crazy, when that hasn't been earned, and discards all her positive character traits... which they have themselves praised before. It's (probably ignorantly and unwittingly) misogynistic writing, just like the show's treatment of PoC has been (probably unwittingly) racist, and the show's caricaturing of Renly and Loras as walking stereotypes was (probably unwittingly) ignorant and homophobic.
Point being: D&D are fucking dudebro morons who have no self-awareness in anything they write, and the homogeneity of the show's writers/directors couldn't be more plain. There are virtually no other voices around their table than straight white yes men.