Crozier was bestowed with the Pat Lowther Memorial Award, which recognizes poetry collections by Canadian women. She also received the Raymond Souster Award, which is open to members of the League of Canadian Poets.
Crozier was appointed an Officer of the Order of Canada in 2011 for her poetry and her mentorship of the next generation of Canadian poets. In 2009, she was recognized as a College of Arts and Science Alumna of Influence. Crozier has authored 15 books of poetry, including Small Mechanics, The Blue Hour of the Day: Selected Poems, Whetstone, and the 1992 Governor General's Award-winning Inventing the Hawk.
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