 This study investigates the single particle energy spectra of the hydroxyl-free radical OH in the lowest electronic and rovobrational level under combined static electric and magnetic fields, taking into account fine structure interactions, hyperfine interactions, and centrifugal distortion effects to yield an accuracy of less than 2 kHz. The study examines level crossings and repulsions in the hyperfine structure induced by applied electric and magnetic fields, finding a more than 10% reduction of magnetic fields at level repulsions in the Zeeman spectrum subjected to a perpendicular electric field, as well as new level repulsions called stuck-induced hyperfine level repulsions that require both an electric field and hyperfine structure. The study highlights the importance of taking into account hyperfine structure when investigating physics of OH molecules at microkelvin temperatures and below. This article was offered by Kenji Maida, Michael L. Wall, and Lincoln D. Carr. We are article.tv, links in the description below.