Manchester City earned a second successive victory in the Women's Super League by defeating Spurs.
Shaw put City in front on 41 minutes from Alex Greenwood's corner, and doubled the advantage shortly after half-time by exploiting a defensive error.
Lauren Hemp finished with a low finish.
After losing their first two WSL games, the pressure was on the City manager.
Taylor has come under fire for failing to get the best out of a City squad that boasts plenty of firepower.
Shaw is the league's top scorer and he was able to rely on him.
The 25-year-old is coming into her own after living in the shadow of Ellen White.
Taylor said thatBunny is great to work with. She had a great season but didn't get as much attention. There's a lot to come from her, she's the number nine now.
Shaw said that the team looks for him to score goals. I have been working on honing my skills.
Shaw made a scything run to the near post after 41 minutes in which City dominated but both sides lacked quality.
She scored her 14th WSL goal in 13 league starts when she slammed into the bottom corner from 25 yards after forcing Angharad James into a mistake.
In the Women's World Cup draw on Saturday, Jamaica were grouped with France and Brazil. They will have a chance with Bunny Shaw's finishing.
The game was overshadowed early on by a nasty looking injury to a Spurs player, which made her first WSL start for the club.
Brazil hit the turf after colliding with the City's goalie.
Brazil had to be taken off on a stretcher after he was treated for a knee injury.
Spurs were beaten long before Hemp turned Turner inside out and hit a low finish inside Spencer's far post.
Chioma Ubogagu was back on the bench for the first time in nine months after being banned for an anti-doping violation.
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