Open the page and instead of trying to put the code into the visual editor, switch to the HTML tab and then put [contact-form] in there. Also, turn comments off for that page otherwise there will be two text boxes, one for the contact form and one for comments and it will confuse your visitors.
Thanks for your speedy response! I tried pasting this in HTML as you suggested. What showed up was a large blank box and the submit button on the bottom but no field boxes. Should there be? Also, if and when I do figure this out (!) will the replies in the contact form be visible to other site visitors, or just to me? TX!