Hades thought that an apology when demanded became absolutely worthless, especially when it was demanded by the miffed looking goddess with a penchant for animal transformation, but because he'd already pushed it earlier, Hades held his tongue. As soon as his sister found a chance to tell him off for daring to insinuate that, as her younger brother, he thought he actually had the right to deny her anything ever even in jest, Hades would see if there was a way to bring it up organically.
When the girl finished rattling off her meaningless, fear induced apologies, Hades nodded as if he accepted them. Then because he still felt like he owed her something, Hades told her that if she still felt the same way in a month long after the marriage business had settled she could call on him again. Then because Hades was afraid that this made him sound soft, and he didn't want to give anyone the wrong idea about his character, Hades warned her that if she was depressed for no good reason again, he'd give her one. Probably involving iron, one of Echidna's newborns, and advanced mathematics.
She left for her wedding pretty quickly after that.
“Thank you,” Hades said to Hera once the dust settled. He felt genuinely grateful that Hera had appeared when she did. There was something extraordinary about the way she'd just waltzed over to Sobrodite and ended the girl's need to wail with words alone. Hades had a deep respect for that, even if he probably did not acknowledge it enough.
“You handled that very well. Better than I would have” he admitted. In another universe Hades would have probably still been listening to her blubber while she put off making the decision she claimed she'd already made.