Nice try but I quoted you directly. Your meaning was clear.
But please go for it. Tell me how you didn't mean to say exactly what you said.
Mate, your interpretation is wrong.
First, I didn't mean, of course, that Gomez was brave to challenge Sterling on a personal level, that was a bit sarcastic. What I meant was that if you are being a bit nasty with a team-mate who has a completely different status in the hierarchy of the team, it's only natural to expect a similar reaction from him, including off the pitch. If he thought that he would get away with being a bit of a dickhead on the pitch and everything would be normal on the next day, then he was daft. Which he probably was.
Second, Sterling did something nasty too by retaliating.
Third, hierarchy is not something necessarily oppressive and thus bad. Most social environments, including sport teams, function better when there is some hierarchy and the individuals acknowledge it. Not every act of challenging the hierarchy is something good. It might be extremist, imbecile, etc. Gomez could have been tough, brave, professional, etc.. without being a dickhead with a team-mate who is his senior and much more successful. What happened off the pitch wasn't good, of course, but was natural, as many top footballers said, e.g. Rio.
So, while Southgate was right that Gomez didn't respond during the altercation, he should teach his players that if they are being nasty with each other when playing for their clubs, then the atmosphere in national team might suffer seriously.