I've added some labels to your figure.
I would start looking for fish in the large eddy below the chute. Fish will be waiting here in the slack water right along the current seam looking for food being washed down by the current. The small eddy on the other side of the chute is probably too shallow to hold many fish. There may also be some fish below the chute in the scour hole. This will be the deepest part of the pool, but if the bottom is smooth, the current may keep the fish from resting here. If there is bottom debris, then fish will be hiding behind it. There may also be fish along the undercut bank, but with the nearby fast water, it might be difficult to get a fly in there.
One last place to look is just above the chute in the pool above. During periods of low light this might be a feeding area among the rocks that form the riffle. Stealth is critical as this water is shallow.