The review examines LLM-enabled GeoAI, which uses natural-language interfaces and autonomous workflows to query, generate, and interpret spatial information. It identifies eight recurring issues: data provenance and consent, spatial privacy and inference risk, algorithmic bias and spatial inequity, spatial mechanisms as structural risk, LLM-specific technical risks, explainability, policy and regulatory gaps, and public enablement. For each, it characterizes the mechanism, grounds it in an illustrative example, and assesses current responses. It then proposes a governance-aware architecture mapping each issue to enforceable controls and auditable artifacts, illustrated with a flood-response routing scenario. The review emphasizes that proposed responses remain largely conceptual and field-tested evaluations are limited.