I agree with Claire, you do have to do a yo. In the video you linked to, she is doing a yo, just in a different way. The whole point of a yo is to have the yarn go over the needle between your normal stitches. As long as you accomplish that, you're golden! Yo's wrap just the same as normal stitches do. (I think that's counter clockwise?) If you wrap the yarn as if you were making a stitch and then position it correctly for a knit or purl that follows, that's all that's you need to do. I learned to do them in spite of all the instructions I tried to follow.
If you end up wrapping your yo the wrong way, just knit or purl through the back loop which is the loop closer to your needle tip on next row. Breathe, relax, and remember, it's not rocket science. You can do it!