A few thoughts, from someone who is also sick of being fat & has tried many many MANY different plans.
It sounds like you are low-carbing it. Is this right? Having a serving of something carby/starchy in the morning will give you fuel. My trainer said not to eat carbs after 8pm, so I would suggest adding a serving of something healthy, high fiber, that has whole grains & very little sugar to give you some energy first thing in the morning.
Now I hate oatmeal as much as the Hatfields hated the McCoys. But I eat it 3 times a week. My cholesterol has come down 13 points. (dude seriously i hate oatmeal) If you are like me & can't choke it down, one of the best tips I've ever gotten from 3FC is to mix in a spoon of peanut butter. You want something non-hydrogenated in a peanut butter, otherwise you just made it unhealthy. So read the label before you buy it. I also sprinkle on Vietnamese cinnamon because as I have mentioned, I need to make it taste good or I won't eat it.
If you can't do oatmeal, I like Healthy Life bread, it's low in calories AND sodium & you can have 2 slices & it counts as a serving. Because who doesn't want toast with steak & eggs?

They have a flaxseed one that you can do with a pb & j (spreadable fruit for me!) or you could make grilled cheese, or whatever floats your boat.
As far as the oil, canola is getting a bad rap. I'm Italian & we use olive oil for cold things only like salads. If you want to mix it up, canola is not that bad for you. Also, don't forget to measure your oils & butter. That helped me a LOT. Also nuts & fresh avocados are a good source of healthy fat, but these must be measured as well.
If you are lactose intolerant, please ignore this next piece of advice, but try adding some skim milk in there as well. If you're gonna do yogurt, get the Greek yogurt, it's got way more protein & to me, tastes like sour cream.
You might want to try a less fatty cut of meat than a turkey snausage. Boneless skinless chicken, lean beef, shrimp, unbreaded fish, etc. I know for me I would get bored of snausages pretty quickly, except my veggies ones. They also sell cartons of just egg whites, you could supplement your egg breakfasts with those. I've done it & no one even noticed.
If you're gonna add calories, I'm thinking cheese is not the way to go, for right now. You can eat so much more fresh veggies for next to no calories, and they really fill you up. Back in the day on the exchange program from one dietician I saw FRESH cucumbers, mushrooms & spinach were considered free foods that you could have up to 3 cups of each per day w/o having to count those calories, AS LONG AS YOU EAT THEM PLAIN!!! If you're a dip or dressing person, that's fine, just count it in there w/your fat servings. Have you ever tried to measure 3 cups of cucumber slices, let alone eat them?

Oh, the things we do for thin thighs!!!
As far as you asking, "But will I still lose weight", yes, yes, you will. Your body needs those calories, so if you aren't getting them with food, it will start on your muscles first, not your fat. So keep that in mind when undereating. You WILL lose weight, but you will not lose fat.
And it goes without saying, but w/o exercise, even just a half hour walk to start out is better than nothing, you'll plateau after awhile on the new eating plan.
Welcome & congrats for deciding you want to do this for yourself.

I know you can do it!!!