Your question is in Washing Machines but no matter...
The cover retaining brackets on my Profile 100e are pop rivetted onto the casing - winter is coming on - a new boiler might cost you £2500 (double through British Gas).
You might consider calling in a small mechanical engineer to manufacture and fit a new bracket - when I say small mechanical engineer I do not necessarily mean a short person - just someone content to take on small bespoke jobs - An hour to spec the job and measure up - an hour to make the part and another hour to fit it - £200 perhaps - squirt with some aerosol white paint and no one need ever know it had fallen off.
The Profile 100e was last made in 2001 but I doubt that they have ever provided this particular part as a spare.
The bracket is L shaped - Mild Steel - 17mm wide x 17mm high x 20mm front to back - there's a 5mm rear facing lip on the top - a piece of steel 17mm wide by about 45mm long costs pennies - bending is easy as is drilling two holes.
Good luck...
Peccavi
November 2009