It is very hard to say if it will make it. How big was it before you transplanted? Have you seen any additional growth at all? And yes you should cut off the dead leaves so the plant can put more energy to the ones that may still be alive.
I am going to guess overwater...with cold comes a lessening at the rate at which water evaporates...so the plant sounds like it is too wet...
just added pic*It is very hard to say if it will make it. How big was it before you transplanted? Have you seen any additional growth at all? And yes you should cut off the dead leaves so the plant can put more energy to the ones that may still be alive.