The gravitational wave detection telescope has stringent thermal deformation requirements that are difficult to meet with conventional aerospace materials. Carbon fiber-reinforced polymer (CFRP), with their excellent designability, allow for adjustments in the material's coefficient of thermal expansion (CTE) through layup design, making them a promising candidate material for the TQ telescope truss structure. This study designs the TQ telescope prototype by combining its truss structure with the customizable properties of CFRP. The method addresses excessive thermal deformation in the dz (separation) and dy (eccentricity) directions of M1 and M2. Considering the anisotropic characteristics of CFRP, the NSGA-II algorithm is proposed to solve the multi-objective layup design optimization problem. The optimization results are then incorporated into finite element simulations for in-depth analysis. Results indicate that the optimized structure significantly reduces thermal deformation, confirming the method's effectiveness.