In this study, we investigate low-energy elastic scattering of $^4$He$+^2$H using an effective two-body clusterisation model. We solve the Lippmann-Schwinger equations assuming that coupling effects between channels involving the $^2$H bound $^3 S_1$ state and those of the virtual $^1S_0$ state are negligible. Two calculations have been performed; one using a potential that best recreates the $^6$Li spectrum, and the other to best recreate the low-energy elastic cross section, for which there is a large amount of experimental data. The potential so prescribed in each case is used for both the $^3S_1$ and $^1S_0$ channel sets. These calculations show that an effective two-body model suffices to explain many features of the data.