The Whites held onto all three points at the Ray Mac after a night of heroics in the second-half and a 12th-minute winner from Noah Coppin.
Salisbury came into this fixture reshuffled since Maidstone, with the skipper Sommerton coming back into the fold at left-back to add some steel to the defence.
The first-half was off to a flyer, with the Whites holding a significant amount of possession and applying pressure against the playoff-chasing Tudors.
In the 12th minute, Coppin converted a sumptuous strike, arrowing a shot into the top corner from the top right-hand side of the box, taking his tally to four goals in the league this season.
Salisbury kept the pressure on after the opener as chances fell to the feet of both Sommerton at the back-post and Tommy Willard in the box, both being unfortunate not to convert.
A stop-and-start half unfortunately saw full-backs Revan and Sommerton pull up with injuries, forcing Brian Dutton into a couple changes as we entered the second-half.
However despite the first-half adulation, it was a tale of two halves at the Ray Mac, as the Tudors came out of the interval rejuvenated.
Chance after chance appeared for the visitors as Salisbury were forced to dig deep and remain in their shape.
From the hour-mark onwards, the plaudits were directed at the seemingly imperious Whites defence.
Resolute defending and leadership at the back defined the second-half, as the Hertfordshire-based club managed to sustain pressure, but failed to convert any meaningful chances.
Goalkeeper Will Buse was put to work, too, claiming numerous dangerous crosses and making saves down low with his hands and feet to prevent an equaliser.
The Whites were limited to minimal counter-attacking chances in the second-half, one coming right at the death for Hedges, who hit the woodwork.
Yet, Salisbury held on to a clean sheet and banked the three point, taking them up one place in the table.
The Whites look ahead to an away game against a struggling Farnborough side next Saturday.
