A woman looks at me across from me. When I caught her staring at me she quickly looked down. She also stared at me other couple of times, Does she like me?

I'm not sure if she likes you but I guess at that time you attracted her a lot ! But if she's always looking at you or when you're not looking or when ever and then just turns her face as u see her staring then that means she likes you a lot!

Good luck! :)