An apparatus and method for providing hyperthermia treatments to a protruding body portion having fatty tissue surrounding a deposit in the protruding body portion is disclosed. The apparatus includes a cavity for receiving the protruding body portion. A radio frequency antenna array is used to direct a radio frequency signal at a selected frequency into the protruding body portion such as a breast so that the radio frequency signal will have a selected wavelength in the breast to create a circularly polarized radio frequency electromagnetic field to selectively heat the deposit to a temperature greater than the surrounding fatty tissue through resonant heating within the deposit when a diameter of the deposit is within a range of about 0.5 times to 0.16 times the wavelength of the radio frequency signal within the fatty mammary tissue.
