"To take points away, and at home, we need to improve". Mark Hughes assured everyone there was no sense of panic, though there must have been a degree of concern when Hull came back from a goal down and began looking for a victor in the second half.
Harry Maguire celebrated his second goal in two games as if it was a cup-final victor.
Marco Silva's had a very good impact since his arrival at Hull in January but his future remains uncertainty - the City boss is actually being linked with Italian giants Inter Milan.
Six minutes after the restart, Maguire made amends for that miss by firing in at the far post after Stoke had been unable to clear a Sam Clucas cross that followed a short corner.
"We are in a good position now where we can relax to a certain extent and maybe release some of the anxiety that sometimes displays itself on occasions, just because we needed to get the win today".
"We have three chances to do this but the next is the most important".
Lee Grant made a crucial save to deny Kamil Grosicki an equaliser and Walters struck the woodwork but Shaqiri put the game to bed with a marvellous swerving effort into the top-left corner from 30 yards.
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Teammate Kevin Magnussen retired early on after starting last. The race has been held under floodlights since 2014. With 10 laps to go, the gap stood at 12 seconds.
The set-back prompted under-pressure Stoke manager Mark Hughes to make a double substitution as Jon Walters and Peter Crouch entered the fray and the pair teamed up nearly immediately to give the home side the lead as Crouch headed home from his team mate's inch-perfect cross.
In bright sunshine, Swansea had more than their fair share of possession in the second half but created little, their best chance a stoppage-time header by Gylfi Sigurdsson that flashed just wide. By the time Shaqiri had seen a shot of his own blocked from an Erik Pieters cross, and Arnautovic had gone close again when he should really have hit the target from Glen Johnson's pass, Hull seemed in danger of being passed to death.
"You know what you're going to get, they understand what's required when they are called upon".
Shaqiri scored a wonder goal to settle the match after that though.
Mark Hughes believes Stoke might "express themselves a bit more" after securing three points against Hull.
Stoke City failed to clear the ball, and Maguire capitalised to find the back of the net.
- The Potters have scored 59% of their league goals in the first half this season, the highest proportion of any Premier League side. Jakupovic had no chance.