How to reply when she says she's into trivia nights but has never gone solo

The phrase that matters is "never actually gone on my own." She's pointing at a small barrier, not a lack of interest. Lots of people like an activity but find walking into a bar or a pub quiz alone slightly awkward, especially if the crowd is built around teams. So the hint is less "I want to go with someone" and more "I'd like to try this, and I'm not sure about doing it solo." That's a useful distinction. It means you don't need to act like she's asking for a date. You just need to show that you'd be fine with her coming along, or fine with her doing it either way.

Don't read too much into it. She might also be saying she's a team person and mostly does quizzes with friends. In that case she's sharing a fact about her social life, and a warm, curious response will do fine. Pay attention to how she follows up. If she asks where you'd go, or what night works, that's the opening. If she moves to another topic, let it go.

Your reply should stay on the activity itself. Ask about the trivia, the kind of questions she's good at, whether her team has a name, what the worst round they've ever had was. These questions let her talk about something she enjoys, which is where people are most relaxed. Once she's talking about the fun part, she's more likely to bring up going out herself, and you won't have had to push for it.

Avoid anything that circles back to her going alone. Don't ask why she's never gone solo, and don't reassure her that it's no big deal. Both moves make the solo thing the subject. You want her to feel like she's just telling you about a hobby, and you're interested in the hobby.

If you want to open the door a little wider, offer something that's easy to accept or decline. A casual question about which trivia night she likes most, or whether there's a place near you she'd want to try, gives her a choice without a yes-or-no commitment. If she names a place, you can say you've been meaning to check one out and see if she's keen. That keeps it to a maybe, and gives her room to suggest a night.

If you do suggest going together, make it one clear idea with a rough timeframe, not a full itinerary. Something like "would you want to try one sometime" is far easier to answer than a specific Thursday at 8. Let her pick the details, because she's the one who knows her schedule and whether she wants to bring her friends.