See the Weapons section of the Class proficiencies page at WoWWiki.

Shamans can use the following weapons

Melee

• Axes (One-Handed)
• Daggers
• Dual Wielding at level 40
• Fist Weapons
• Maces (One-Handed)
• Staves
• Two-Handed Axes
• Two-Handed Maces
• Unarmed

Relics

• Totem

they should be able to use swords, but blizzard is cruel