What does the good character requirement mean, and can a minor offence cause a refusal?

Good character is a core condition for naturalisation. The assessment can take into account criminal convictions, pending proceedings, road traffic matters, and any history with immigration or other state authorities.

A single minor matter does not automatically lead to refusal, but you should disclose everything honestly. Failing to declare something that later comes to light is often more damaging than the original issue. Full, upfront disclosure with any relevant explanation is the safest approach.