Answer:
Traffic citations do not affect your credit score. Traffic citations for moving violations that result in a conviction for that offense (in other words, you don't contest the ticket) will affect your driving record and often can affect your insurance costs if your insurance company reviews your driving record.
Your credit score is based on credit items where money was extended to you with a promise of repayment, such as credit cards, mortgage loans, and auto loans.
If you do not pay a court debt and a judgment or collection item is reported against you it is feasible that it could eventually show on your credit report, although this may not be common.