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Ok, it is not likely that she will get a different court appointed lawyer. The court generally appoints someone and you are stuck with that unless you hire your own lawyer. She does not have a right to choose whichi lawyer will be appointed to her.
As for the evidence... they will need more than that, since it will not be allowed in court, unless the boy testifies. So they also must have taken a statement from the minor saying that this happened.
The trial will come down the boy's testimony. If the jury believes it, she will be convicted. But he will actually have to take the stand and describe the acts. He will also be subjected to cross exam by her lawyer.
But many cases simply come down to one person's word against another. Specifically with rape cases and child molestation, there is often no physical evidence. So yes, she can be convicted. But they will need the testimony of the victim himself.