"She drinks iced tea."
Yes and no. It depends on where you ask for it (restaurant or street stall), and also on how accommodating they are trying to be: my general experience in Xi'an was that if they see that you are a foreigner, often times they will use their knowledge on Westerners (stereotypes), and will give you what they think you want. For me, the most difficult was to explain that I don't want ice-cold water in the 47°C summer heat :D Keep in mind, if it is not bottled water, your only real option is boiled water 开水 / kai1 shui3 (not to be confused with 热水 - hot water!), if you don't want to risk spending the rest of your holiday on the toilet :P
For western restaurants like McDonald's and stuff, as well as Chinese western-like restaurants such as Coco, they usually ask you if you want ice in your soft drink, juice or tea (you can expect no ice if they don't ask)! For traditional Chinese food restaurant they always give you hot (warm) water when you ask for water, yes! Normally, you'd go with some friends and share food in a big table, and water is served in a bottle for the table! That said, your cold water request is likely to raise some eyebrows!