Enfield-born Charlotte Dujardin received an OBE for services to equestrianism, following her two gold medals at London 2012.
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Mike Brown declared that he is "fit to be in position" and has the "full support" of mayor Sadiq Khan.
The Metropolitan Police are reviewing what happened during the incident in Romford.
Protesters also climbed on top of a Docklands Light Railway train at Canary Wharf station.