Anyway, I think the "is Doflamingo a pussy" question is a bit complicated. Imo, he has both sides. In some ways, he isn't imo. Doffy is under no illusion that he's a top tier, and does genuinely fear dealing with Kaido or an admiral.
However, I don't think this changes the fact that Doffy will assert himself in almost any situation. He originally tried killing Smoker knowing fucking Kuzan is right behind him. Technically he's surrounded by enemies though obviously fodder.
And when he did run away, he made sure to make a comment to Kuzan.
So yes, he ran away but he made sure to assert himself in some ways.
We see a similar thing when he tried kicking Fujitora, or was controlling Marines to fight eachother at the holy land.
He also was excited when Whitebeard came to Marineford and started a huge tsunami.
He was also shown to be excited about fighting WB pirates when talking to Disco too.
So who does Doffy fear? Inner WG and celestial dragons: not in the slightest, he robs the CD's for fun laughs about the WGs secrets and has never shown to give a shit about them ever. He low-key threatened the WG guy in the video OP posted. He even laughs about
their plan to sink the world. You can disagree with him, but this is just the writing in his character.
Admirals: Doffy has shown fear of admirals and will do what he can to avoid them, but when his back was pushed against the wall, he believed his crew had to deal with Fujitora. The Yonko:Doffy genuinely does fear them as well, but he doesn't shit his pants at seeing WB attack Marineford, nor is he worried about attacking his crew during the war. so imo, Doffy is a bit of a coward who knows he is no top tier, but at the end of the day he is a pirate, so he's ready for whatever