It had been an interesting question that could have sparked quite the debate. And really, Gaia did like a good debate. She liked putting her mind to use. But the topic of the gods was not one she was privy on. After all, the gods were just there and they either showed you favor or they didn't. Inwardly, she had wondered what path the gods had sent her on when her husband had died and sent her back to Capua, to Lucretia. She knew she was to help Lucretia, but Gaia also needed another husband, a wealthier one. And then this world had ruined those beautiful plans she had laid out for them.
Reading over Hercules' answer, she pondered that for a moment. So Hercules was not just the son of any god, but the son of Jupiter? Or Zeus as he called him. Though it made sense to Gaia. For want of more power, the gods would take many names and faces. Isn't that similar to what Gaia herself did to further herself in life and support her extravagant lifestyle? She nodded to Hercules, accepting that response because it did make sense.
When he posed that question to her, she didn't need to pause for thought. She had a question ready. Really, it stemmed from the current conversation, and she was curious. Taking the laptop, she typed out her question.
From what you have said, your gods are more proactive within human lives. Are humans aware that someone they may encounter is actually one of the gods?
If a god could take many names and change the way they appeared, wasn't it entirely plausible that they could appear as any normal human being one could encounter? Thus it stood to reason that Gaia could have encountered a god somewhere along the way in her life and not known it.