 we investigate the impact of a coupled optical molecular system with two different temperatures on quantum metrology using a quantum master equation beyond secular approximation. Our findings reveal that steady state coherence can enhance quantum metrology due to the non-equilibrium condition, and we quantify this effect through measures such as curl flux, heat current, and entropy production. However, an apparent paradox arises regarding the inter-cavity coupling strength's impact on both steady state coherence and non-equilibrium measures. By decomposing the heat current into population and coherence parts, we resolve this paradox and find that only the coherence part of the heat current is tightly connected to steady state coherence and behave similarly with respect to inter-cavity coupling strength. Additionally, we discover that the coherence part of the heat current flows from the low temperature reservoir to the high temperature reservoir, opposite to the population heat current's direction. Our work offers a viable way to enhance quantum metrology for open quantum systems through steady state coherence sustained by the non-equilibrium condition, which has potential applications beyond quantum metrology in areas such as device designing, quantum computation, and quantum technology. This article was authored by Jihai Wang, Wei Wu, Guodongqu and others. We are article.tv, links in the description below.