Mr. Aiken is scheduled to appear at a preliminary hearing on Monday at 3 p.m.
The minister, founder and operator of a counseling center called YouthQuest, is well-known in area church and nonprofit circles for helping troubled teens.
Mr. Aiken was unavailable for comment yesterday as he was "on a previously scheduled trip," said his attorney, Wallace Bateman Jr.
Through his attorney, however, Mr. Aiken said in a prepared statement that he "categorically denied these charges" and had worked "with teenagers for the past nine years without even a whisper of wrongdoing."
The young woman, now 19, lived with Mr. Aiken and his family in a Souderton rowhouse from April 1994 until about the end of February this year, Bateman said.
She moved in with her child after being referred to YouthQuest through the Lakeside Center for Girls in Willow Grove, an educational program for teen mothers in which she was enrolled, police said.
Detectives were told of the allegations by the woman's current counselor, whom they would not identify.
Charging documents say Mr. Aiken touched her breasts both over and under her clothes against her will and that he crept into her room while she was sleeping, undressing her and rubbing his body against hers.
His attorney says the charges simply are not true.
"He's really upset about it," Bateman said, saying he had advised Mr. Aiken not to talk publicly about the case before the hearing. "I'm sure he'll have a great deal to say about this once he's cleared of all charges."
Bateman said that Mr. Aiken and his wife - whose neighbors said shared their home with their three young daughters - frequently took in troubled teenagers, providing them with shelter, food and emotional support.
The young woman issuing the charges shared a room with Mr. Aikens' daughters, the attorney said, before he "asked her to leave" in February.