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The points were set to be shared until the visitors mustered one last attack in the 90th minute and Sohna slotted home after driving into the penalty area.
The Cards had the best chance of a lively opening spell, Shadrach Ogie meeting a corner but heading wide from close range. Tamworth survived a goalmouth scramble around the half-hour mark, soaking up a handful of efforts including a clearance off the line before the danger finally subsided.
Morgan Roberts had a chance to break the stalemate for the hosts when he gathered possession to put himself through, but Vicente Reyes held his ground to smother the danger.
Both keepers looked to have done enough to keep it goalless until Sohna’s late intervention settled it.