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The Abortion Services (Safe Access Zones) Act prevents any protests or vigils from taking place within 200m (650ft) of 30 clinics around the country.
Anyone who breaks the buffer zones law could be fined up to £10,000 or an unlimited amount in more serious cases.
Ms Docherty was arrested close to the Queen Elizabeth University Hospital (QEUH) on 19 February.
She had been holding a sign that said "Coercion is a crime, here to talk, only if you want".
