Deborah Britzman's remarkable question, 'What holds education back?', appears more urgent than ever in a world of accelerating environmental crises, climate change, and what has been described as "omnicide" -- the annihilation of everything. What, then, holds education back from initiating radical change under these urgent conditions? This paper introduces the notion of 'institutional anxiety' as a consolidating force and explores how it may condition possibilities for resistance. Bringing examples from ethnographic fieldwork and experiences of course development in conversation with psychoanalytic and schizoanalytic thought, a key catalyst of institutional anxiety is discussed: Anxiety related to 'the question of the animal' as a threat to human exceptionalism in educational practice and research. Confronting these anxieties could open new modes of being and acting in academic space and give interspecies ethics, justice and sustainability a chance to develop in omnicidal times.