The phrase "although we ordered" is correct and usable in written English.
It can be used to introduce a contrast or exception related to an order that was placed, often followed by an unexpected outcome.
Example: "Although we ordered the new software last week, it still hasn't arrived."
Alternatives: "even though we requested" or "despite our order".
Although we ordered this dish, we were served the regular French toast ($7.50) made with apple-cinnamon raisin bread.
Tzatziki, that mix of yogurt, garlic, dill and cucumber, needed seasoning and more garlic, and although we ordered taramosalata as our third selection, hummus arrived instead.
Scenes on the flat screen had shifted from Cuba to the Loire Valley, and although we ordered food from the regular menu, Mr. Cottineau encouraged us to sample wines from the Loire region by the glass, including a rare, honeyed 2005 Cazin Cour-Cheverny and a rustic 2005 Baudry Chinon Granges that tasted of blackberries.
Although we had ordered our dinners first, the owner gave the Talibs our fish and started to cook some more for us.
Although we tried an ordered logit model by using a three-category explained variable (having experience of food education volunteer = 3, having willingness to volunteer = 2, no willingness = 0), the result was not good enough to adopt.
Although we didn't order it, Jack's bouillabaisse, loaded with half a lobster, scallops, clams, mussels and market fish in a saffron lobster broth topped with a saffron rouille, sounds like a must-have for next time.
Although we randomised the order of smoking and breastfeeding questions, further framing effects are possible particularly for the introductory statements.
He has few cravings for junk food, although he ordered ice cream from room service on Friday.
Unfortunately, we cannot order them to stop, although that would be the right thing to do".
At a dollar less, a lamb special was served unappealingly in a bowl with beans and vegetables, the lamb stringy and cooked to medium although ordered rare.
The only sustenance was coffee and biscuits, although some officials ordered pizzas.
