i noticed you said "slighly" to one side.. how slight is slight? mine sits at about 5-10 degree from vertical, when sat on the bottom, having a sleep. thats more due to the contour of the hole she dug to sleep in tho.
As for cuts, unless you saw them actually happen, hard to pinpoint what they are - cut be fighting, cut have been startled and swan into something, could have done it exploring, or trying to find a different way around things, could have done it trying to get to some tasty morsel blah blah..the list goes on!
Check your water, and examine the other fish for marks, and keep an eye on things for now.. She might just be having a stroppy day...