“I make the bare amount,” Black said last month between lessons. “It’s tough supporting my sister traveling. I’m trying to save money for the hip surgery, trying to help pay the rent. Sometimes it can get really overwhelming for me. I’m only 19.”

Black, who began playing tennis when she was 3, said she prefers to be called Alicia, her original name. Her mother, Gayal Black, has acknowledged that she named her daughters after storms as a marketing gimmick for their presumed stardom.

Her last competitive singles match was a first-round loss in the 2015 U.S. Open qualifying tournament, when the pain in her hip had become excruciating.

At the end of October that year, she had surgery to repair a torn hip labrum.

But in July 2016 her hip blew out again. An M.R.I. was sent to Dr. William C. Meyers, an expert in Philadelphia who diagnosed two sports hernias and recommended surgery.

Black says her insurance and Medicaid will not cover the procedure out of the state of Florida, or her portion of the payment would be costly; it is a delicate operation and she said it would be best done by Dr. Meyers, who has a reputation as one of a few doctors known to perform it on elite athletes.

“I’ve been putting so much pressure on myself to get back on the court, to save up for my surgery, to help out with my family, and sometimes it’s just too much,” she said. “I go out on the court with my students and I just have to fake a smile because sometimes I get so upset.”