I-adjective (keiyoushi)
awesome; awe-inspiring; august; gracious
そのオペラにはおそれ多くも皇太子殿下ご夫妻が足を運ばれた。The opera was graced with the august presence of the Crown Prince and Princess. discourteous (to a superior); lacking due respect
indicates apology
Also written 畏れ多い【おそれおおい】、おそれ多い【おそれおおい】