This, shield is acceptable, but commonly the hero uses a sword alone and often no armor (unless it's a legendary one).
In the Fellowship of the Ring no one had a shield, certainly not Aragorn or the Hobbits. Richard from Sword of Truth didn't use one as well. Conan usually has a sword, sometimes an axe, almost never a shield. Same for He-Man; there were shields packed with toys, but his main weapon was the sword and he didn't use a shield in the cartoon. Liu Bei had a sword, but no shield, and his brothers used polearms, so sword made him stand out. Even Voltron only uses a shield to protect itself from projectiles, but as soon as it can it forms it back into wings and charges with a sword alone. Same for its red paladin Keith. And let's not forget samurai, who didn't use shields at all (though their shoulderpads were kind of "wearable" shields, but remember the point about no armor).
The non-magical "hero" would be a Dex-based Fighter in light armor, using a Longsword or a Bastard Sword.