Would you be interested in a relationship with a female ATLL? If so, as 1ozzy says - talk to her.
If not, then take her staring as a compliment - I stare at attractive girls sometimes without thinking (I'm straight) not because I am attracted back, but i sit there thinking 'Those shoes are fab' or 'I wonder if her eyelashes are real' type of thing. She obviously has seen something about you that she admires, whether it's you, your dress sense or something else - so have a smile to yourself - it's all good.