You're referring to Action Comics #592 right? I recall she blasted him with the Mega Rod twice. Was it a surprise attack? I don't remember and I don't have the issue with me.
However you need more evidence than Barda knocking out that Superman to support her taking a split from Thor.
There's also her performance against DC's Thor in Byrnes "Jack Kirby's New Gods", when Lightray compared Thor's fighting ability to Orions, and not only felt that Barda could handle that level of combat, but that she could outright replace Orion as New Genesis's new champion.
Personally, I'd give the edge to Thor with full hammer abilities, and call it a split or at most a 6/10 edge to Thor in pure hand to hand. She WAS the head female fury on Apokolips for a reason, and probably only surpassed by Orion as a pure fighter..
In a comic fight, Barda and Thor would probably consider it good sport, and fight near indefinately until someone broke it up... (Think when Barda fought Knockout, another Fury. And Knockout is no pushover.. Gave Superboy hell, and helped him with a sick, yet still dangerous, Valor.)
I haven't actually read that, so I'll just ask, is there any particular reason stalemating DC Thor should impress me? I mean, has DC Thor actually done anything in the past that would make stalemating him an impressive feat. I remember he died fighting in a thousand year war with Clark and Diana but that's about it.
Wow, Barda must have some really amazing feats I'm not aware of.
Any particular reason why being the lead Female Fury would be impressive or support the statement that she could get a near split with Thor?
No, they probably wouldn't. In a comic fight, chances are he dismisses her and takes on a big dog like Clark or Marvel.
He gave Superboy hell? Well, that settles it then. Barda is on par with Superman physically without a doubt in my mind.
So what you're saying is you know nothing of Barda, likely as much about the New Gods, and don't particularly care because Thor's your boy. Ok.
Also, might want to work on those reading comprehension skills a little.. I never said Barda gave Superboy hell. I said Knockout did, in addition to helping Superboy beat up Valor. Knockout is another Fury of Apokolips, and someone Barda fought to a draw.
And since you probably don't know who Valor is, he's a Daxamite. Maybe you're recognize him by his other name: Mon El, of the Legion of Super Heroes.