The poem "Homage to Mistress Bradstreet" details Anne Bradstreet's intimate love life. This was frowned upon by the Puritan society that made up the first American settlements and for that reason, Berryman was banned.
We can arrive at this answer because:
Berryman was very fond of Bradstreet's poems, so he decided to write a poem in honor of her. This tribute bore the hallmark of Bradstreet's poems, which was the presentation of carnal love and intimacy.
This caused Berryman to be frowned upon, seen as a sinner, and banned from the settlements.
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