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The relatively unexplored compound CeCd₃As₃ crystallizes in the P6₃/mmc space group, and has geometrically frustrated triangular arrangements of magnetic cerium atoms in the a/b plane. Magnetization measurements indicate strong out of plane AFM interactions. Our heat capacity, C(T), measurements on a single crystal reveal a sharp peak at T_N = 420 mK in zero field, consistent with an out of plane AFM phase transition. Applying a magnetic field within the easy-plane raises TN to 490 mK at 2 T demonstrating lifting of frustration. At high fields T_N is suppressed to zero, and C(T) no longer resembles that of an AFM. Instead we observed an excess of entropy at the lowest temperatures measured. These results indicate competition between AFM order and frustration at low fields, and a field induced highly degenerate ground state at stronger fields.