I don't even know how I was meant to go from there to 'netflix and chill'
If you don't have the social judgement to navigate this with grace and subtlety (and most young people don't, and many "rationalists" of any age don't), don't think about what you're meant to do, think about finding out what she wants to do. and don't overthink it or try to guess - admit your lack of knowledge so you can use your alternate skills in analysis, communication, and rationality. Tell her you're romantically inexperienced and really like her, but that you need help in understanding her pace and wants. If she's as awkward as you, this will turn into an adorable stammer-and-blushing festival where you end up with whatever level of chill you're both looking for. If she's less awkward than you, she'll let you know what's OK and what's not and you'll get there much more comfortably. If she tells you she doesn't want that, she just likes watching netflix, well, that's (probably) ok too.
Isn't admitting preference for someone the the coup de grace of romance?
Notes for future OT posters:
1. Please add the 'open_thread' tag.
2. Check if there is an active Open Thread before posting a new one. (Immediately before; refresh the list-of-threads page before posting.)
3. Open Threads should be posted in Discussion, and not Main.
4. Open Threads should start on Monday, and end on Sunday.