A model of the equations of a two-dimensional problem in a micropolar thermoelastic medium for a half-space whose surface is free and subjected to an instantaneous thermal point source is studied. The entire elastic medium is rotating with a uniform angular velocity. The formulation is applied under five theories of the generalized thermoelasticity: Lord–Shulman with one relaxation time, Green–Lindsay with two relaxation times, Green–Naghdi theory (of type II) without energy dissipation and Chandrasekharaiah–Tzou theory with dual-phase-lag, as well as the coupled theory. The normal mode analysis is used to obtain the exact expressions for the considered variables. The distributions of the considered variables are illustrated graphically. Comparisons are made with the results predicted by the five theories in the presence and absence of rotation.