Green’s Dictionary of Slang

1. a coward; also as adj., cowardly, effeminate .

1966

P. Boyle At Night All Cats Are Grey 18: Your sister is a right pooshey [...] The clergy have the living daylights frightened out of her. [Ibid.] 169: There must be some way to get him out of his pooshey habits.

2. (Ulster) an over-sensitive person .

1969

P. Boyle All Looks Yellow to the Jaundiced Eye 139: But you’re too soft. A proper pooshy.