Shrewsbury heaped more misery onto their bottom on the table neighbours with this crushing result.
After manager Jan Molby walked out on Harriers in midweek, they badly needed a boost in this scrap between the Nationwide League's bottom two clubs.
But Ryan Lowe settled a tight match in the visitors favour with a superb 82nd minute strike to end their run of nine games without a win and lead their rivals rooted to the foot of the table.
As well as seeing his new charges end up pointless despite a battling display, caretaker manager Shaun Cunnington will have a massive job on his hands to lift his players after the psychological hammer blow of losing at home to their fellow strugglers.
Harriers have now lost three games in a week without scoring a goal, and will soon become bookies favourites, for relegation if they do not conjure up some points and confidence under their caretaker boss.
They were lucky not to be trailing inside three minutes when Kevin Street crossed for Lowe to turn home from close range but saw the goal ruled out for pushing.
Street was running the show in the opening half an hour as Shrewsbury called the shots.
Jamie Tolley twice tried his luck with smart efforts, the second bringing a good stop from on loan goalkeeper Ben Foster after 17 minutes.
Foster, sent into battle after signing from Stoke 24 hours earlier, also saved well form Street, but Kidderminster gradually got into the game and almost opened the scoring in the 36th minute.
James Keene threaded a fine pass through to Kelvin Langmead who turned cleverly and shot against the base of the post from eight yards.
After the break neither side were able to get on top, although Shrewsbury continued to look the more dangerous and Foster was the busier of the two keepers.
But he was beaten eight minutes from time when Darren Moss threaded a slide rule pass into the box for Lowe to score with a sweeping drive into the top corner form ten yards.