Mark Moat, 42, and from Bridgnorth, is also charged with arson in connection with the blaze, which broke out last November.
Sandra Nowocinska, 22, died four days after being rescued from the fire at an apartment in the Horsefair area.
Mr Moat was remanded in custody and is due at Worcester Crown Court in June.
He faces additional charges of arson and threatening to cause criminal damage in relation to two other separate incidents.
A man has appeared in court charged with manslaughter following a fire in Kidderminster in which a mother died and her five-year-old son was injured.