Radiation from beta particles can be used to treat various types of tumors. To handle with beta emitter radioisotopes, applicators/plaques play an important role, first allowing to give the radiation dose to the target area; second, to prevent the staff to receive an unwanted amount of radiation. In this work a conceptual novel hexagonal beta applicator is proposed, and a first estimation of dose rates around it using the beta-point source formalism is presented for the Yttrium-90 radionuclide. Initial results show that over 90% of the beta radiation energy from the hexagonal applicator is absorbed in the first layers of the skin tissue. These findings suggest that the applicator may be used in the treatment of non-melanoma skin lesions.