I think you made the right decision. While, I understand you sometimes may run into a recruit who goes above and beyond what is asked of them and really seems to "click" with your squad or group. I feel a "direct invite" is more for someone you've known for an extended amount of time online or in person.
A week is hardly enough time to truly judge someone's character and who they are as a person and as a gamer. Great call bud, but since you guys feel so highly about her to begin with. I'm going to assume either way you went would have been a great call.