Is one cigar a month considered being a smoker?

Yes: It is what it is. You smoke. When calculating your health risks the amount you smoke should be taken into consideration. You have higher risk for tobacco related diseases than a non-smoker, or former smoker. These are medical facts in your history and not judgements about your behavior.

Insurance definition: The criteria for “who is considered a smoker” varies between insurance companies. Most companies define "smoker" as any nicotine use (including gum and patch) within the last 1 to 3 years. There are perhaps a few companies that might give non-smoker rates for gum, patch, cigar, limited cigarette use, pipes and chewing tobacco.