Liam Boyce’s second-half penalty was the difference to secure the three points in what was a largely turgid affair, impacted by the wind.
The league leaders had to stand up to a battle with the home side making it very difficult with their pressure but failed to properly test Craig Gordon.
Robbie Neilson revealed he opted for a front two due to the conditions but it wasn’t until the second half until the visitors took control of proceedings.
So how did the 14 Hearts players rate out of ten?
Player ratings scale - 10: One of the best performances you've seen. 9: Outstanding. 8: Very good. 7: Good. 6: Average. 5: Poor, 4: Very poor. 3: A terrible day at the office. 2: Abysmal. 1: One of the worst performances you've seen.
1. Craig Gordon - 6
Not worked too much. Put the team under pressure early on with a slack pass. Photo: Paul Devlin - SNS Group
2. Michael Smith - 7
Key interventions and interceptions. Constantly looked to support play on the right and saw off the threat of Tom Walsh and Cammy Smith. Photo: Ross MacDonald - SNS Group
3. Craig Halkett - 7
The centre-back has been looking far more solid of late. Didn't give Andre Wright a sniff. Photo: Mark Scates - SNS Group
4. MIhai Popescu - 6
Put the team in danger a couple of times with slack possession play. Largely fine with his defensive duties, ducking from a cross aside. Photo: Euan Cherry - SNS Group