“But nervous as well,” said Davis, 21. “I think it’s really good to be nervous.”
The emotional swirl worked as well as Davis’ steady backhand during a 6-3, 6-1 upset of Bouchard, ranked No. 7 in the world. The 5-2, 121-pound Boca Raton, Fla., resident made few mistakes on the way to one of the biggest wins of her career.
“Yeah, for sure,” Davis said. “She’s an amazing player, so this is a great win for me.
“I’m really happy.”
Davis, ranked No. 66, will face No. 15 seed Mona Barthel of Germany in the round of 16 on Thursday. Barthel defeated American Sloane Stephens, 6-3, 7-6.
Three other seeded players didn’t make it through early Wednesday action. No. 2 seed Ekaterina Makarova defeated Shuai Zhang in three sets but later withdrew with a “gastrointestinal illness.”
No. 9 seed Samantha Stosur, the 2010 Family Circle Cup champion, fell to Lara Arruabarrena, 6-3, 3-6, 6-4. Qualifier Danka Kovinic upset No. 12 seed Belinda Bencic, 4-6, 6-3, 6-2.
Bouchard, 21, is still adjusting to the high expectations that come with rising star status. The Montreal native shot from No. 144 in the WTA rankings to No. 32 in 2013. But she has struggled on the court and with various injuries this year.
“Everything is kind of just healing,” Bouchard said, “but even if something doesn’t hurt anymore, you know, you’ve had that lack of training, that lack of match play. Just the feelings on the court are so off.”
Bouchard had a long post-match meeting with her new coach, Sam Sumyk.
“I definitely felt a little bit slow today, overpowered, which is never usually the case,” Bouchard said. “Usually I’m the one dominating. So it was definitely just not good. Whatever happened was not good.”
Bouchard reached the Family Circle Cup semifinals last year.
Davis wasn’t necessarily the crowd favorite early in Wednesday’s match; Bouchard earned Charleston popularity over the last few years. But fans got behind her as she was making surprising progress.
“I’m an American,” Davis said. “So I would hope that they would be behind me.”
She looks forward to her match with Barthel.
“I haven’t played her in about a year or something, but she’s a great player,” Davis said. “She’s been playing really well. So it’s going to be a challenge, but it’s also an opportunity, so I’m looking forward to it.”
Follow Gene Sapakoff on Twitter @sapakoff