The cost of repairing the ancient bridge and surrounding pathways at Tarr Steps will run into thousands of pounds.
Somerset County Council and Exmoor National Park say the landmark on Exmoor has been affected by landslips, fallen trees and erosion from recent flooding.
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The charity took more than 1,600 calls about neglected, abandoned and stray exotic animals in the West Country last year.
Alex Beresford reports in 'Knife Crime & Me', on ITV tonight at 7:30pm.
Members of the public in Greater Manchester and Merseyside contacted the charity about exotic animals more than 1000 times in 2018