Exemption
Exclusion
noun, する verb
To excuse and to exclude, that's exemption.
めんじょ
This is a jukugo word that uses the on'yomi readings of the kanji. You should be able to read this on your own.
私の祖父は心臓病を患っていたため、兵役を免除されました。
My grandfather was exempt from military service because he had a heart disease.