Neutron capture reactions in high-temperature environments play a vital role in our understanding of the age of the universe, as well as the function of nucleosynthesis in the creation of the heavy elements. In general , the temperatures characterizing these reactions are variable and can be split into two separate processes: the slow (s) and rapid (r) neutron capture processes. In this work, thermal effects are introduced at the initialisation of the wave-packet with an implementation of the time-dependent coupled channels wave-packet (TDCCWP) method. The agreement of this method with the already accepted CCFULL method is explored for the n+ 186Os reaction. Then, a comparison of thermally dependent cross sections are made, where a decrease in the cross section is found for an increasing temperature, along with a decrease of 19% in the reaction rate when a temperature-dependent cross section is used.