I'm going to fake an emergency to get a girl to stay at my house and not leave for the night
Might I have some kind if insight into this decision of yours to fake something to fool someone?
For the past few days, I've been busy and not having time to go on a date with her, and this is my way of making everything better again.
Making up for something else is your forte. This girl will be angry when she finds out you faked it, because that is lying. Then you will not have made up for anything and just made it down to being worse.
You are worrying too much.
I don't think so. Lying to her to spend time with her will only piss her of further. Just be upfront with her, okay?