Hi J,
When she said, “Can we give it some time?,” she may have meant that she wants to see how things play out before she can definitively decide on whether the both of you are still on.
If she is telling the truth about her ex boyfriend and the situation with law enforcement, she may not know where all of this is leading.
On top of that, she has her parents to worry about.
In essence, she may have been insinuating that she wants some time to see if things blow over before she can definitively tell you that you are both still on.