If you want to lose weight, diet matters much more than exercise. Not all calories are the same. Not all exercises are the same either.
Most people would like to lose fat but keep muscle. This can be done, but gaining in strength at the same time is a tall order, but can be done in a limited way. People selling protein have claimed you need huge amounts. This is true for young novice weightlifters who can gain weight and strength very quickly, but moderate amounts are fine if you are over thirty and already more fat than you would like. Eating protein may mean fewer carbs, which has it benefits, and it is harder to get fat eating protein than carbs. But carbs are needed to build muscle, and avoiding healthy fruits and vegetables is both counterproductive and silly.
Weightlifting will not cause quick fat loss or localize it to one perceived problem area. It improves body composition over time. Diet is more important - I advocate getting five or more daily servings of vegetables and adequate fibre. Few do this. It will make cravings more controllable, nudge you to eat healthier, and cause significant fullness on its own to limit the damage from indulging. *If you eat okay 90% of snacks and meals, you can cheat all you want on the other 10%, provided you are not cheating on the 90% and the 10%.
Strength train twice a week (up to a maximum of four times). Take a daily walk. If you want to exercise more, sprinting 400m or brief sprinting (high 70-90% effort, times under fifteen seconds, machines just as good as track, warmup and hamstring stretch mandatory, read how to do it before you do to prevent hamstring injuries) has a more long term effect on fat loss and appetite than most exercises.
High effort, medium duration (a minute) exercises like pushing prowlers, farmers walks, circuit training, complexes or tough 10-20 rep sets (50-60% of maximum) probably work better than most exercises. Long runs, swims and climbing (more than thirty minutes, moderate paces) once a week help too, as long as your body is not very used to doing them.
If going further, keep most carbohydrates for breakfast, and in a 2 hour window before and after exercise. Outside this time, try to have most calories as a mixture of protein and fat with few carbs, but don’t include whole fruits and vegetables. Try to eat a bigger lunch and smaller dinner. Eat more delicious seafood.
@DSeid, not sure it is well known how quickly muscular elderly people lose mass in the ICU. There are fewer of them and they spend less time there. But even a lousy four days in bed in the ICU for sedentary people can weaken lumbar quadratus muscles enough to make mobility and walking difficult.