Pres. Trump is not bullying CNN. Bullying implies the bullied has no power to defend themselves. CNN personalities have been dishing out abuse as much as Candidate/President Trump.
President Trump may have “started it” with a fake news comment, but then CNN goes out and produces fake news, in which they get caught on video, and for a story, that ends with CNN firing 3 people. Instead of proving Pres. Trump wrong, they proved he was correct. It’s like a cake shop getting mad when someone says their cakes taste like feces, and responding by putting feces in their cake batter.
This appears to be that CNN is pissed that they cannot bully President Trump so they decide to start bullying Trump supporters.
CNN threatening/coercing a meme maker, is bullying.