Reinquiry is an uncommon word that means to make a request or inquiry again. However, there are several synonyms that can be used interchangeably depending on the situation. One such synonym is "reconsideration," which implies another chance or review of a decision. "Redemption" is another option that suggests an opportunity to correct a mistake or error. "Reexamination" and "reassessment" denote a deeper analysis or evaluation. "Reiteration" is a simpler synonym that means to repeat the same inquiry with the intention of obtaining a more detailed response. In conclusion, using these synonyms for reinquiry can add nuance to your writing and effectively communicate your intention.