The arrangement of an experiment to detect the P −odd and P , T −odd polarized part of the Mössbauer ( + 3/2-+ 1/2) gamma transition of a deformed 169 Tm nucleus with an energy of 8.4 keV by Compton polarimetry is discussed. Tm 2 O 3 single crystal with a quadrupolarly split Mössbauer spectrum is proposed as a resonance polarizer. A Bescatterer-based Compton polarimeter and a synchronously detecting system will be used to measure the P -odd circular polarization P C and P , T -odd linear polarization P L .The expected accuracy of measuring the relative magnitude of the P , T -odd contribution is about 1% of the magnitude of usual weak nucleon-nucleon interaction.