¿Cuál es la diferencia entre It makes me uncomfortable y It makes me feel uncomfortable ?Puedes dar oraciones como ejemplo.

Not a thing! :) They mean the exact same, one is just more grammatically correct than the other.

"Speaking in front of a group of people makes me feel uncomfortable." This would likely be used in writing, since it's grammatically correct. You'll also hear it used in speech by a lot of people.

"Speaking in front of a group of people makes me uncomfortable." Means the same thing, just without that technically correct "feel" in there. "Uncomfortable" has become so well-used that it's already implied you're feeling it when you say the word.

You'll hear both, so choose whichever way you like best! :)