(From the Argus live reporting)
Someone needs to tell CM to get her facts straight; if they were legally married in Peru then they're legally married here
Requirements, paperwork and processes for weddings and civil partnerships overseas - registration, restrictions, fees
www.gov.uk
Further details, specifically for Peru
Marriage in Peru - Getting married abroad - GOV.UK
Either she's lying, or it wasn't a legal ceremony in either Peru or the UK - just a handfasting or something equally non-legal.