With the rank you're mentioning I'm afraid there are very less chances of her getting a college. There are a total of 1000 seats (approximately) in all the government and private colleges combined and 45% of which is reserved for OBC /SC /ST candidates. So even if seats remain vacant in subsequent rounds of counseling it will get filled fast before reaching a rank beyond 3000.

But she can certainly try next year to get a good government college.