To deceive or delude.
From Middle English begilen, begylen. Compare Middle Dutch beghijlen.
‘I know, sir, I am no flatterer: he that beguiled you, in a plain accent, was a plain knave.’ – William Shakespeare, King Lear, Act II, Scene ii.
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That’s not very flattering to a beautiful lady who is described as beguiling, though I suppose if she were endowed by silicon and botox, it could be considered accurate.