Hi there. Another shorty on the site. I'm AFAB, 37 year old, who's only about 4'10".
I second
@Set Monje 's post. Unfortunately I've heard the saying "you can't outrun your fork" for a reason. Weight largely comes down to calories in versus calories out. Exercise largely just says where those calories are gonna be stored. Now, granted, exercise can definitely help with a more toned look. Despite my weight being the same (or a little higher) since I started working out, I do look better over all. But it's also limited unless I start watching my intake.
Which, that's the big thing with us short folks. Our calorie needs can be a decent bit less than others. So I recommend making your own meals if possible. Or if you eat out, eat only half of it. Homecooking allows you to better control ingredients and cooking methods, which means you can make it healthier. To give an example, at McDonald's a 4 piece nugget meal with fries, apple slices, and milk is nearly 400 calories. Compared to making that at home when you can bake the nuggets and fries versus soaking in grease.
Now for exercise. Personally, I haven't had to do much rearranging for exercise. I mostly just do bodyweight stuff though. The only thing that I've had to modify is if I ever want to test out our pull-up bar, I need to grab the stool to reach it. (Realistically, I jump to grab it, but I'm not sure that's a good idea now that I think about it.) But anything involving heights, you just have to adjust to fit your level. Which isn't a bad idea anyways since you can do that for a less or more intense exercise as well.
But in short (pun intended), I haven't really had to make a lot of modifications. And since I'm working on strength, I get to have a bit of a "oh wow" factor trying to show off my "guns." Honestly, the only problem I've had is people thinking I'm a kid, so if you workout at a gym, that might be a risk. XD