Is it ok to give my 10month old applesauce with cinnamon in it pre-made from tops?

Usually ok. It is usually ok to give pre-made applesauce but as with any new foods you should not combine ingredients in order to tell whether there could be an allergy. I would try the sugar free and plain version prior to trying the one with cinnamon in order to see whether she will tolerate the apples in general. To avoid added sugars and preservatives try cooking apples and mash them yourself at home.