She fucks around with everyone, even Tommy (he certainly didn't like it when Quinn brought Josy into the HOTs but it was entirely to fuck with Tommy even though they are friends).
She's been fucking around with the MC since the moment she met him, however, she does like him. She openly admits to Riona that she likes the MC (although it's in the context of the mc saying that Riona's tits are too small...)
But check out this post:
Quinn slowly falling for the MC. Yeah, she definitely likes him.
I don't think Quinn lied to Maya initially. She lead Maya to believe there was a free tuition option with the HOTs, and Maya was too naive to find out explicitly what that entailed (but the free tuition was real, it just involved being a prostitute which arguably means it's not free 'cause you're working for it).
But when Maya confronted her in front of all the HOTs about it, Quinn had to lie saying there was no such thing otherwise she'd probably be in serious hot water with Sage. It all would have been avoided if Maya just asked Quinn privately, "So what's this free tuition deal all about", instead of being such a dumbass.