Newer saws come with more rail to the right for this reason, the blade tilts to the left. The cut off falls to the left of the blade. The fence is to the right of the blade, because that's where the most rail length is AND most all users are right handed, 70 % to 90% of the population according to Wiki.
You can't hardly find a new right tilt saw these days.
So there you are cutting your panel or ripping your piece down the length. You atre standing slightly to the left of the blade, your right hand is pushing forward and in towards the fenc at the same time. You left hand is assisting in the case of a wide panel or waiting to turn the machine off on a rip.
When the piece reaches the area of the throat plate you grab the push stick which is sitting on the fence bar and push the piece all the way through beyond the blade and onto the catch table or off feed support. Hopefully you have a splitter or riving knife in place to:
1. keep the kerf on from closing, pinching the rear of the blade and stalling the saw, OR kicking it all back towards you.
2. to maintain registration against the fence if only very slightly .... no pressure applied....it just can't walk away.
Whether you have a blade cover/guard or not is up to you. Murphy's Law says "If you CAN put you fingers into a spinning blade, you just might..."
I personally don't like big plastic, blade hiding covers and just use a sandwich of 3 thin pieces of hardboard on a pivot with a friction bolt on my splitter, so it stays at what ever angle I leave it. Splitters don't allow partial depth cuts, but riving knives, new saw have them, that rise and fall with the blade do!
Here's a photo of my table saw(s) showing a blade cover, not the one I described above, but it works OK:
Now don't get alarmed because the fence is on the left side of one of the saws, it's on the right side of the left saw...two fences, two saws.
well actually 3 saws.