You don't mention how you're trying to get it into Word, but my guess is that you're copying and pasting a screen shot. When you do this, you are pasting a low-resolution raster image internally in BMP format. Low resolution by print standards, which are much higher than on-screen standards.
You might try exporting to a scaleable format known to Word. Scaleable formats, if implemented correctly, look good at any resolution, but sometimes different programs "see" the format differently.
I don't know what formats Word will import, but its almost guaranteed to use WMF. TC can export to WMF, DWG, DXF, and SVG which I believe are all scaleable formates. You can check to see which formats Word can handle.
If Word won't let you trim edges on your imported images (I think it will with its editor, but I don't have W. on my current machine to check) then you may have to use a 3rd party editor before importing into Word.
Be sure to make a back-up copy of your TC document before trying any of this.