Gandalf’s wand of course. But could he not use Glamdring (Beater). Did it not have special qualities as it was able to easily hack the chains of the Dwarves in the Goblin’s cave. Magic?
Legolas’ bow and arrows were made by the Elves of Lothlorien. Special qualities? Magic?
Anduril (Narsil) was made by Telchar – special qualities? I think yes. Magic?
Sting had special ‘magical’ qualities – it was able to hack through Shelob’s webs when Sam’s blade couldn’t. Also Frodo wears the Mithril Coat? Magic?
Gimli – No magic here, although he was deft with the axe – hacking off the heads of two orcs with one fell-swoop. No magic.
Take away ALL ‘special qualities’ and Gimli has a chance.. eh? All in all a sad confrontation and, as Na Vedui says - Sauron wins! “Faithless is he that says farewell when the road darkens.” But, sneaking off in daylight takes much more cunning.