America sure is litigious. This kind of thing would be laughed out of court in Europe provided the review was legit and wasn't slanderous. Of course, with affiliate marketing there is always the risk that you could be found to do 'misleading marketing' if you only recommend products with affiliate programs. Which is why I personally make sure to that reviews are legit and don't push any offers only because they have an affiliate program. It's also a much better long term strategy if you want your review site to be trusted (and therefore get links and shares).
If I am dealing with obvious scams or shady products with a large affiliate presence, then I just refrain from reviewing them, since it's not really worth it to be on bad terms with them.
Another option to give a poor rating is to use other people's reviews, particularly if it is mainstream media or credible consumer rating sites. Then you can let them do the talking and be neutral in your own review, stating that such and such gave them a bad review. By doing so, you can't be blamed for slander, since you are only republishing what others have said.
Or you can just remove it as seems you will do, but remember that consumers do appreciate those sites which call out crap if it is crap.
If I am dealing with obvious scams or shady products with a large affiliate presence, then I just refrain from reviewing them, since it's not really worth it to be on bad terms with them.
Another option to give a poor rating is to use other people's reviews, particularly if it is mainstream media or credible consumer rating sites. Then you can let them do the talking and be neutral in your own review, stating that such and such gave them a bad review. By doing so, you can't be blamed for slander, since you are only republishing what others have said.
Or you can just remove it as seems you will do, but remember that consumers do appreciate those sites which call out crap if it is crap.