I've never heard of a TV not having component cables (the 5 plug cables: red, blue and green video cables, red and white audio cables). I've seen some newer ones without composite (3 cables: yellow video, red and white audio), but never component.
I find is hard to believe it has no component. I looked at some Samsung LED tv's this weekend, and although they lacked composite, they had component. Are you sure you mean component?
The Wii only comes with composite video cables, so you'll need to buy a component video cable for the Wii to hook it up if your TV has no composite inputs.Component Cables for the Wii
TV's have inputs on the side and rear. If the TV truly has HDMI, USB and nothing else (which I find hard to believe), then you'll need a cheap home theather 5.1 receiver. Ifyou get a cheap one with HDMI out, it should have a few composite inputs on the backside. A cheap sony one can be had for sub $200. If you hook the Wii into the receiver via composite, and the receiver into the TV via HDMI, it will allow you to hook up and play the Wii (and it may upconvert it too, depending on the receiver).