Calorimetry question regarding initial temperature of water in calorimeter

If the initial temperature of distilled water in a coffee cup calorimeter was well below room temperature, would this in any way effect the experimental result if I was calculating specific heat of an unknown metal by measuring the change in temperature of the heated metal and the change in temperature of the water in the calorimeter after placing the heated metal in the calorimeter? Essentially, would the results be different from the results obtained if the initial temperature of water was at room temperature?

I know that the exchange of heat will be the same regardless of the initial temperature of water, so does this mean that it would not effect the change in temperature? Would it just have no effect whatsoever on the results of the experiment?

Please explain!
Any and all help welcome,
Thanks so much!

Hello Angela, you have this well under control. In the coffee cup calorimeter it is assumed that no heat will be lost to the surroundings. I think it is best to have everything at the same temperature at the beginning, less chance of errors. The amount of heat transferred to the water is dependent on the specific heat of the substance being investigated and its mass, it is independent of the initial temperature of the water.
As the same amount of heat is being transferred, the amount of rise in the temperature of the water, its final temperature though, depends on the initial temperature. One can not expect to achieve the same final temperature if one begins with 10*C water as will one using 20*C water, all else equal. Correct? A very good question, though it appears you are over-thinking matters. Never stop questioning, anything and everything!