Welcome to the forum, phoenix999.
Do you maybe have other weapons equipped in your quick-weapon-slots? It doesn't matter if the active weapon is one-handed, if you have a two-handed weapon in another slot, you can't equip a shield. This includes bows and crossbows, twohandswords, halberds, spears and quarterstaves. The other way around, if you have a shield equipped, you can't equip a two-handed weapon in any of your quick-weapon-slots.
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