As FlightDetent suggests, you also need to correct the FPA.
What you want to
actually fly doesn't change. You still want to commence the descent from the same true platform altitude and distance and arrive at the TDZ. But in order to do so your indicated platform altitude must be appropriately higher (temperature corrected), and to descend from that indicated altitude to zero over the same distance (because the distance doesn't change) requires a steeper indicated FPA (note - the true FPA will still be 3 degrees because the true platform hasn't actually changed). So, despite it appearing like a steeper approach, it's only steeper in an "indicated" sense. The aircraft will actually fly the same physical profile as on an ISA day (if the temperature corrections you made were accurate).
Personally, I wouldn't feel comfortable flying an uncorrected platform altitude in order to intercept the vertical profile later (especially in IMC) because terrain clearance could be substantially reduced. But I don't know what the law is regarding this.
Hope it helps.