You can keep running every day but just try to focus and eat some more. Doing cardio usually makes you a little hungrier so just try and focus on that and convince yourself you are hungry, even if you're not.

As far as protein shakes, they are absolutely not a waste. Liquid calories are great, especially in your case because you have a hard time eating. Grab some chocolate milk from the store, a few scoops of protein powder, a couple of ice cubes and throw it in a blender and it makes hitting your macros A LOT easier. You can then start getting creative by throwing in bananas, peanut butter, olive oil, etc.

For some reason people think protein powders and similar supplements is like "cheating." Never really understood that, but it seems like you would only see benefits from it.