Another woman aged 65 was detained at the march for failing to provide details having refused the opportunity to leave when asked.
She later provided details, was de-arrested and given a £200 fixed penalty notice.
The protest was over the government’s recommendation tat NHS staff should only receive a 1% pay rise despite spending 12 months on the frontline of the coronavirus pandemic.
Superintendent Caroline Hemingway said: “Regardless of one’s sympathies for a protest’s cause, we would ask the public to maintain social distancing and follow legislation to prevent a rise in infections and provide the best possible chance of a further easing of restrictions in the weeks to come.
“We sought to engage with and peaceably disperse those attending this afternoon’s protest, explaining that the gathering was in contravention of government lockdown rules.
“Unfortunately officers were met with a degree of non-compliance and it was therefore necessary to enforce issue FPNs.”
A fundraiser to help the 61-year-old, who has been named as mental health nurse Karen Reissman, has already attracted donations of over £11,000.
The government’s NHS pay proposal faced a huge public backlash with even senior Conservatives speaking out.
An Opinium poll carried out on Friday and Saturday suggested as much as 72% of the population think the wage recommendation is too low, including 58% of Tory voters.
Speaking on Sunday, Boris Johnson claimed ministers gave NHS workers “as much as we can” as the angry backlash over the government’s proposed 1% pay rise offer continued.
During a visit to a vaccination centre in Brent in north London, the prime minister would not be drawn on whether he would perform a U-turn over the proposed hike in pay for healthcare staff.
Nurses and NHS workers from the campaign group NHS Workers Say No, and Unite’s Guys and St Thomas Hospital Union branch, also held a protest outside Downing Street against the proposal.
The Royal College of Nursing has condemned the award as simply “not good enough”, stating that nursing staff, many of whom would have been working on the frontline during the pandemic, are “skilled professionals deserving of fair pay”.