The oxidation of alpha-terpineol by cytochrome p450-TERP requires the participation of a flavoprotein, terpredoxin reductase, and an iron-sulfur protein, terpredoxin, to mediate the transfer of electrons from NADH to P450 for oxygen activation. Binds 1 [2Fe-2S] cluster. Belongs to the adrenodoxin/putidaredoxin family.