"I didn't mean to make you uncomfortable, let's just study, alright?"

Danielle hesitates but doesn't leave. You try not to take a deep breath, nearly blew it there. But at least you're still in with a chance of her blowing you.
"I didn't understand the section...oh right, here..." You point to the notes and your study session begins. By the end of your hour together Danielle doesn't even remember your slip up.

"Thanks for explaining everything to me Danielle, you've been a great help." Danielle blushes slightly at the praise.
"No problem. If you need help another time, just let me know." You sense an opportunity.
"That's great, thanks. Could we meet again next week after class? We could study at mine, I only live a few minutes away." You see her weighing up the situation and quickly wade back in. "My housemates'll be around if you're worried about things being weird."
"...ok, sure. I'll see you after the same class next week then. Bye!" You watch her walk off, ass swaying attractively under her miniskirt.

She fell for your lie hook, line and sinker.

You have no housemates, you live alone.