The aspect ratio of your original (Nikon D7000) is 3:2 and if your D7000 is set to it's default setting the image resolution is 4928 x 3264 pixels.
In other words the long side of the original is 1.5 times longer than the short side (3/2=1.5)
An 11x14 has an oddball aspect ratio that has the long side 1.27 times longer than the short size.
So to get from your original to 11x14 you are going to have to crop some from the long side of your original.
Next you need to consider the print resolution, or pixels-per-inch. Well look at that a bit later.
Have you allowed for the canvas wrap needed to attach the canvas to stretcher bars. The wrap dimensions vary from canvas printer to canvas printer.
If the canvas printer requires a 2" wrap you need your image to be 15 x 18 to allow for the wrap.
One of the ways people avoid losing image real estate is my mirroring the 2 inches (or what ever is needed) to allow for the wrap.
Assuming you have not yet cropped the 3:2 (1.5x) original to the 1.27x required for an 11x14 print we can do a little basic math to determine how much needs to be cropped.
As long as you used the D7000's default settings the short side of your original is 3264 pixels and assuming you don't want to lose any of that you will crop the long side of the original.
Here is the math 3264 px x 1.27 = 4145.28 px and 4928 px - 4145.28 px = 782.72 px that need to be cropped off the long side of the original. In round numbers call it 783 pixels.
So you need a cropped photo that is 4145 x 3284 pixels to have the right shape for an 11x14 canvas print that has edges mirrored for the wrap.
Some more math - 4145 px / 14 inches = 296 pixels per inch (ppi) which is more than enough print resolution for a canvas print. (Note: print resolution (ppi) and image resolution (4928 x 3264 pixels) are different things but together determine print size. Image resolution only applies to electronic display and for electronic display ppi is meaningless.)
Because a canvas has so much texture, resolution doe not have to be as high as for a matte or glossy print. By the same token, a canvas print can be sharpened more than a matte or glossy print, and a matte or glossy print can usually be sharpened more than an image that will be electronically displayed.
However, the bottom line on sharpening is the image quality and the image content (edge frequency), and that sharpening for print is best done as a 3 stage process - capture sharpen, local/artistic sharpen, output sharpen.
Real World Image Sharpening with Adobe Photoshop, Camera Raw, and Lightroom (2nd Edition)