The web page colors are hard on the eyes, especially the yellow font on blue background.
To start there are a pink and a mocha sheep which have the same genes, but breeding them does not allow getting a mocha sheep. This seems a bit odd.
It would be nice if the UI allowed swapping/trading sheep by dragging over them, instead of needing to remove a sheep from the breeding slot before adding a new one.
I'm still experimenting with the first breeding, and moved the mouse over the box, cause an sound. Clicking on it shows a list of sheep, and a big blank area that looks like it might be for details, but there does not seem to be anything I can do with them. Later in the show it does get explained, but it would be nice to either hide this at the start, or give an explanation when it is first opened (if before it gets explained).
After the ribbons are explained I added all the ones I could. Eventually it showed a blurry circle. On hover it did not give any info, but I was able to click on it and enter ribbon mode, but could not give it to a sheep. I was also able to click the refresh ribbon button and lost points, but got the same thing back.
I also regularly wanted to drag the ribbons, rather than click to select and click to place. With the drag and drop of the sheep, it just felt more like that should be as well.
The hazard messages get annoyingly long. It would be nice if they could be condensed into fewer messages, such as a summary of all that happened. Allowing click to advance/clear the message could also help.
The sleep hazard was really annoying since it happened every turn meaning only the newest sheep in your hand wasn't asleep.
The art seemed decent for the style of game, though the photo of a hand did not fit well with everything else.
I think you have a decent start here, but it needs refining. This is not my style of game, but for what it is it seemed to work. The big thing for me would be improving the UI (more consistency and reducing long message delays), and improving the hazards.