Here’s the best I can find. The church frontage is on the bottom of the image. This is from October 1952 and the site Britain from Above. It fronts into Commercial Road. Found the following online.
Administrative History:
The church of Saint Matthew originated in a London Diocesan Home Mission founded in the 1860s in the parish of Saint John, Halley Street, (P93/JN1). The permanent church was built in 1871 and assigned a parish in the same year. Services had to compete with the noise of traffic in Commercial Road, the Eastern Counties Railway and the Rotherhithe Tunnel. The church was gutted by an incendiary bomb in 1941 and the parish was united with Saint John's, Halley Street. The ruins of the building were demolished.
The second image shows the tower. The view is looking east on Commercial Road and the railway bridge was Stepney East station now Limehouse DLR station.
I’m sure I’ve read it lasted until 1955 but don’t quote me.
Edit: Additional comment. The church in the arial image certainly looks damaged. It doesn't appear to have a roof for starters and the tower when compared to the second image appears damaged.