City were unlucky not to return with at least a share of the spoils as they met Herefordshire FA BDC for the third time this season.
Having beaten their opponents twice already, City's undoing was the concession of two goals in the third quarter but they had opportunities to level if not win the match after falling behind.
The visitors began the contest very brightly and dominated possession for the first quarter - applying plenty of pressure on the home defence.
Herefordshire came into contest in the second period and brought a brilliant save out of Josh Reed-Jones, who leapt high to his right to tip over a long range effort. New signing Charlie Swift had an assured debut for City and made some excellent interventions to keep the hosts at bay.
Lewis Corbett went close with a header from a Fabian Hook corner before Herefordshire took the lead when they capitalised on a long ball and their player held off his challenger to score.
City almost levelled when Jamie Hill did brilliantly to dribble to the byline and square for Jesse Asomugha, who seemed certain to equalise only for the home keeper to make an unbelievable close range save.
The let-off proved crucial as Herefordshire went down the other end and were awarded a penalty for a trip much to the bemusement of the City defence. The spot-kick was converted.
City battled back in the final quarter and were rewarded when Asomugha made the most of some dithering in the home defence to intercept and stroke the ball into the net. The visitors continued to press until the final whistle and nearly levelled when their keeper misjudged a ball into the area that went through his hands and just wide of his far post as Herefordshire held out to secure a narrow 2-1 win.