A screw extractor mentioned by fred_dot_u in the other answer is the safest option. However, I don't think you'll be able to get your hands on one. I checked McMaster-Carr and they have no screw extractors below M2.5 and if they don't have it, it probably means you're going to have a very difficult time finding one if they exist at all.
"Should I pre-drill a smaller hole in the center?"
This indicates lack of experience in drilling which means you will mess up the operation. An M2 drill is already well below the size where a pilot is needed and a drill small enough to drill into an M2 screw is even smaller. Power hand drills and even regular drill presses will break such a small drill if their chuck can even hold such a small drill to begin with. A drill press needs to have an integrated small drill feed or small drill feed attachment, but I bet you don't have that.
The only thing you can get is a pin vise but alignment and action will be inconsistent so this might prevent it from working as well.
You will want practice on other screws first. You probably don't have a lot of disposable M2 holes laying around though nor drills and taps to thread M2 holes.
The size of the screw is M2 and it seems to be glued.
Seems to be? Do you or do you not know for a fact? If you don't know, what makes you think it is? Because just being tighter than you think it should be isn't enough.
Screws this small aren't typically threadlocked and if they are it would properly be done with purple threadlock which is designed to broken by hand without leverage (because small screws are real easy to strip).
Blue can be broken with leverage (like a wrench). Red requires application of heat. And if super glue was used instead of threadlock (sometimes done because threadlock eats plastic but this is a camera with optics and superglue can produce fumes). I guess I'm saying I doubt it is threadlocked but I don't know anything about cameras so maybe it is, and if it is, you need to know that for a fact so you can deal with it first since a left-handed drill isn't going to be breaking a something like a superglue bond.
And if you do decide to use a hammer for some reason, use a palm or drop mallet without a handle (aka just a small block of material with some heft in this case). Much more control. I don't see how that would help in this case though because it's recessed. Normally you can use a small cold chisel and tap around the circumference of the set screw to break it loose.