TCU (7-9-3) plays in the semifinals against fourth-seeded Texas (8-10-1), which defeated Oklahoma 3-0 also on Wednesday. The TCU-UT match is set for Friday at 5:30 p.m. The Horned Frogs won the regular-season contest 1-0 on Oct. 21.
"Friday has to be our best game," Clemmer said. "We can take this as far as far as we take it. It's up to us. None of us can be satisfied."
West Virginia (11-4-4) becomes the first No. 1 seed to lose in the opening round of the Big 12 Conference tournament since Missouri defeated Colorado 2-0 in 2003. The Mountaineers could get an at-large bid for the NCAA Tournament.
"Obviously we got a slow start, but I credit TCU," Mountaineers coach Nikki Izzo-Brown said. "They finished two corner kicks. We'll just get back to the drawing board for the NCAA tournament."
Though Clemmer, a freshman midfielder from Decatur, Texas, has played all 19 matches this season for the Frogs, the corner set-ups were only her second and third assists. They were almost identical crosses to the far post.
"That's what I was looking for," Clemmer said, "because the keeper, she was definitely at the front post. It worked."
TCU broke on top 1-0 in the 11th minute when Alvarado was able to get her head squarely onto Clemmer's corner kick from the right side. It capped a nice offensive series for Alvarado, who set up the corner kick when her sliding shot from about 10 yards out forced Mountaineers goalkeeper Sara Keane to play it and deflect over the goalmouth. Alvarado, a senior midfielder from Southlake, Texas, who transferred from Mississippi State, has a club-leading seven goals this season.
Alvarado's score was one of three shots -- all on goal -- in the first half. Overall, TCU got four of its six first-half shots on the goal compared to three of 10 for West Virginia. For the game West Virginia took 25 shots and six of them made it on goal with TCU going 7-for-12 shots on goal from attempts.
"We missed our cues in the box," Izzo-Berown said. "But TCU was more aggressive in the box and we weren't."
TCU goalkeeper Vittoria Arnold had to face a West Virginia offense that has been known to light it up in the second half. The Mountaineers have scored 22 of their 32 goals this season in the second half. They had outscored their opponents 22-9 after halftime.
"(Arnold) played an amazing game, one of her best," Clemmer said.
Bri Rodriguez was the first West Virginia player to have a quality look at tying the game in the second half. In the 53rd minute Rodriguez located herself at center box from 18 yards away and lined a shot. Arnold got a good look at it and lunged right to get a glove on the ball and deflect it out.
Rodriguez, a senior midfielder from Aurora, Ill., wound up another line-drive shot in the 73rd minute that thudded off the near post.
By that time the Mountaineers were pressing for two goals, for Johnson put an insurance score for the Horned Frogs in the 59th minute that looked a lot like Alvarado's. Clemmer launched it out of the corner to the far post where Johnson headed the volley downward and by Keane.