
zerstört
destroyed
Physically broken, destroyed, or no longer functional, often because of violence or an accident.
Nach dem Erdbeben war die halbe Stadt zerstört.
After the earthquake, half the city was destroyed.
destroyed / devastated
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destroyed
Physically broken, destroyed, or no longer functional, often because of violence or an accident.
Nach dem Erdbeben war die halbe Stadt zerstört.
After the earthquake, half the city was destroyed.

devastated
Emotionally or psychologically at the end of one's strength; deeply unhappy and desperate.
Sie war nach der Trennung von ihrem Partner völlig zerstört.
She was completely devastated after separating from her partner.
'Zerstört' is the past participle of the verb 'zerstören' (to destroy) and is used as an adjective. The prefix 'zer-' points to final destruction or breaking something.
Das alte, zerstörte Gebäude soll bald abgerissen werden.
The old, destroyed building is supposed to be demolished soon.
You can recognize the meaning from context. If 'zerstört' (destroyed/devastated) refers to an object or place, physical destruction is meant. If it refers to a person, the emotional state is meant.
Das Auto war nach dem Unfall komplett zerstört.
The car was completely destroyed after the accident.
The adjective is very often intensified with adverbs to emphasize the extent of the destruction. Common combinations are 'völlig zerstört' (completely destroyed/devastated), 'komplett zerstört' (completely destroyed), or 'total zerstört' (totally destroyed/devastated).
Meine Lieblingsvase ist heruntergefallen und nun völlig zerstört.
My favorite vase fell down and is now completely destroyed.
finished / ready
Fertig and zerstört can both describe a state of severe emotional distress. Fertig generally refers to intense physical or emotional exhaustion. Zerstört emphasizes a deeper psychological shock, great unhappiness, or despair.

Nach der belastenden Trennung ist Nina innerlich zerstört und tief verzweifelt.
After the difficult breakup, Nina is emotionally devastated and deeply desperate.
Nach der belastenden Trennung ist Nina völlig fertig und braucht erst einmal Ruhe.
After the difficult breakup, Nina is completely exhausted and needs some time to rest.