"Woman" is a noun, not an adjective*. You can join nouns together in this way, but take care of retaining meaning.
For instance, if you write "woman poet" it could imply that Emily Dickinson only wrote poems about women. What you should write is "woman-poet", indicating she is a woman and a poet.
On a side note, you could also use a solidus "woman/poet" to indicate she was both a great woman AND a great poet, not just a great poet who happened to be a woman.
*In some instances Woman is used as an adjective, such as in Woman activist, but let's be honest - it's usage is not that common, and when I looked it up in Oxford, it definitely said noun, so until they change it, stick to "female poet" or "woman-poet"