Conversation so far:
What was Rough Trade in relation to The Smiths?
The Smiths then agreed to sign a record contract with Rough Trade, an independent record label
Around what year did the Smiths agree to sign a record contract with Rough Trade?
The Smiths agreed to signa record contract with Rough Trade in 1983
What record did The Smiths make after signing to a record contract with Rought Trade?
To produce the Smiths's first album, Travis brought in Troy Tate of the Teardrop Explodes, and recorded their first album, provisionally titled The Hand That Rocks the Cradle
How did the provisionally titled The Hand That Rocks the Cradle Smiths album do?
Rough Trade were unhappy with the album that the Smiths produced
Why was Rough Trade unhappy with the first album the band The Smiths produced?
Rough Trade disliked Troy Tate's production of the Smiths' first album
Did The Smiths end up redoing their first album The Hand That Rocks the Cradle because Rough Trade disliked Troy Tate's production of it?
Rough Trade ordered the Smiths to redo their first album with a new producer other than Troy Tate

Question: Who was the new producer?
Self-contained rewrite: Who was the new producer for The Smiths first album that Rough Trade ordered the band to redo it with?