so I texted this girl today, (tuesday) asking her what she is doing on thursday. I tried to set up a "date" with her on thursday, cause we have never hung out just the two of us, always with a group of friends. She said she might be babysitting with her friend on thursday but if not we can hang out. The thing is, she made it pretty clear that it wouldn't be the two of us alone.
"What are you doing on thursday, maybe we can meet up?"
"If me and my friend dont babysit that day then cool. What are we all gonna do?"

It seems that she wants to make it clear that we wont be alone. So how can I set it up so its just the two of us.

She has decided that she is not going to be alone with you. This is a "test" she wants to see what kind of a man you are. Let me put it this way if you turn up she has control over you and it's GAME OVER.
She knows you won't have a chance to do anything when you do go so what's the point. If you do go you will become her dog

While I agree with Abdul to an extent, I don't think it is that dramatic if you actually show up. You could always play it like a day 1 and get her interested enough so that the next time it's just the two of you.

I would have asked in a different way from the onset, but that's just me.