In a prior car, the starter wasn't being engaged due to an interrupt switch (that only liked to malfunction in frigid weather). The interrupt switch for manual shift vehicles is the clutch pedal switch. We have two. But before making that leap of assumption, put a volt meter on the starter positive for the starter solenoid to see whether it's even getting power. If it's getting power, use voltage drop testing to eliminate the possibility of a weak connection. If it's not getting power, verify whether your clutch pedal switches are functioning proper. If the switch is bad enough, it might show high resistance. Otherwise voltage drop test the switch to verify.