Double clicking on the point icon will bring up this panel.
Symbol,symbol size and also the size of any annotation are controlled with this panel.
The current color is shown in the color well. Clicking in the well will bring up the color selection patch.
To change the color of the point just choose the desired color in the patch and drag it into the well. Please note that no color patch will follow the cursor, only when you release the mouse in the well will the color appear.
As an alternative to removing the point is to select the hide radio button. If a layer is hidden it will remain in the layer manager but will not be plotted.