Going by experience with a 2000 civic.....
There is a screw 'inside' the cup that houses the inside door handle.
There is also a screw inside of the 'armrest'.
There may/may not be a black plastic screw in the 'sailpanel'.
There are several 'pop fasteners' in the bottom and rear edge of the panel that
only needs to be popped out. Just run your fingers under the edge and slowly apply
pressure. They will pop out one by one.
You will need to remove the window crank/handle: Go to the base of the crank and push the
door panel in until you can see a u-shaped brass colored 'pin' at the base of the crank. Take
a flat-head screwdriver and gently pry on one of the ends until it pops loose. Keep an eye on
where it goes as they have a tendancy to fly off and bounce around. After that is off...the crank
should easily slide off.
You will need to angle the handle 'cup' until it slides through the panel
(may take a little patience

).
Lift the panel straight up to release it from the edge of the window channel.
That should do it for you or at least be pretty close.
When re-installing.....it may be easier to start with the window down.