Dont worry dear, drinking cold water wont hurt the little one. The main thing is to stay well hydrated whatever the temperature. If very cold water bothers ur throat, just have it slightly normal, simple as that.
Actually it makes no difference to the baby yaar. My MIL would panic if I touched the fridge water haha. I just drank normal water mostly, cold sometimes when it was too hot. Listen to ur own body na.
Beta in our homes we always say avoid too cold things during pregnancy, it can give cough and cold. I am not saying it reaches the baby, just that ur own throat may suffer. Room temperature ya thoda normal water is what I would suggest.
Cold water doesnt harm the baby yaar, thats just an old myth. I drank cold water both pregnancies, specially in summer. The only thing is if it gives u a sore throat or cold, then avoid, otherwise totally fine.