Dell offers some computers in mini tower, desktop, or small form factor configurations. That might be why yours might look different.
Your problem is you are trying to game and stream. That takes a lot of computer power. You have a dual core CPU with hyperthreading and a 750 Ti. That's fine as a budget, entry level gaming system. It's not fine to game and stream on.
You'd need either a 6 core CPU or a 4 core/8 thread CPU if you want to stream your games. Needless to say, you'd want an upgraded videocard as well. You could upgrade to an i7 4xxx CPU, that would remove the CPU limitation. Then your game performance at 1080p is completely dependent on the 750 Ti. Some games, which aren't that demanding, will run great. Some games will require you to tinker with settings and maybe resolution to get decent performance.
edit: The buzzing may be the CPU fan running at full speed because you're putting so much of a load on your CPU. With a more powerful CPU you can get the same or more work done with less effort, meaning the CPU would run cooler and have less fan noise.