Unlike many of the prodigies and women’s champions of the last 25 years, she also has no fear of coming to net when the points matter most.

“You see women who have won Grand Slams just hitting hard off both sides without really trying to hit slice or volleys and sometimes not even running all that fast,” said Jean-Christophe Faurel, Gauff’s new coach. “Coco can do all of that. I have rarely seen a player cover court like she does. She can hit hard off both sides, and on top of that, she has good touch. I don’t see any limits.”

There are certainly limits in the rule book, however. According to the WTA, Gauff will be allowed to play only seven more professional tournaments before she turns 16 on March 13. Though the Gauff family is feeling rather constrained, it is hard to imagine that the WTA is going to radically alter age-eligibility rules that were designed to protect youngsters and their teams, in part, from themselves.

“I definitely understand why the rules are there,” Gauff said. “It’s definitely to protect the player, but obviously I will want to play more. We’ll see. I heard the rule is under review.”

The review is being conducted by an independent volunteer panel. Gauff’s father, Corey, has said that he does not want a “Coco Rule,” but that does not mean that tweaks are not possible.

Coco’s performance at Wimbledon lifted her ranking to approximately No. 140 from No. 313 and will allow her direct entry into the qualifying events at Grand Slam tournaments and the four top-level WTA Tour events, known as premier mandatory tournaments.

But unless some special dispensation is made, Gauff has reached the limit of allowable wild cards for regular tour events in her 15th year.