Possible Clues:

• Card used in programme soliciting donations — not hard up
• Paper that's folded, as TV appeal is turned down, wasting hours
• Decorative letter
• Let on about alien's brief communication
• Retired type outwardly revealed short letter
• TV money-raiser rejected — Henry released informal communication
• Isn't allowed to include electronic sheet
• Open letter, remove last three bits of paper, and rewrite in briefer form
• Not allowed to accept fifth-rate paper
• Jot down the rent on a card