Beneficial bacteria die off?

[Big kid 777775]

I am cycling my current tank with the help of 3 live rocks and a bit of sand from a mature aquarium sitting in a pantyhose at the back of the sump. The problem is I didn't have a heater for a day and the water was really cold, will the bacteria have died and how long do you think the cycle will take?

 

[Big kid 777775]

I am cycling my current tank with the help of 3 live rocks and a bit of sand from a mature aquarium sitting in a pantyhose at the back of the sump. The problem is I didn't have a heater for a day and the water was really cold, will the bacteria have died and how long do you think the cycle will take?

I have a heater now btw and the water is warm enough