I enjoy top down stealth games, and haven’t seen this game get discussed much, but it was pretty fun - Serial Cleaner (and sequel, Serial CleanerS)
You play a guy who cleans up murder scenes for an unknown serial killer, all the while evading guards and other security measures. It’s a pretty fun experience, and I do recommend giving it a go if that’s your kind of thing.
There’s also the Marvelous Miss Take, a game where you play a woman on a mission to perform a series of heists. Also a top down stealth game, you get to use some gadgets to distract guards while you sneak past and to your goal.
Both are older indie games, but enjoyable for at least one playthrough.
I think it’s definitely really early to say if they have proper romantic interest in you, given you’ve only known each other about a week? But from your post, it seems like you two have points in common and have a lot to chat about, which is often a good foundation for relationships, friendly and romantic.
In terms of learning Linux, it’s probably ideal to have a bit more of an outline of what you want to start teaching her because it’s a huge jump into a new OS (not that I know much of myself). She may not know where to ask you to start and would appreciate more suggestions from you on where to begin, like telling her “Today, let me show you (practically) how to install (OS) on a system and navigate it” and going off that.
I think the tl;dr would be: Have a Linux lesson plan, expect friendship first. Take it slow.
Hope things go well.