Frivolous exploit the lady's intellect emptily engineered (7-7)

I believe the answer is:

shallow-draught

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'lady's intellect emptily engineered' is the definition.
I don't know anything about this answer so I can't judge whether this works.

'frivolous exploit' is the wordplay.
'frivolous' becomes 'shallow' (I've seen this before).
'exploit' becomes 'draught' (draught is a kind of exploit).
'shallow'+'draught'='SHALLOW-DRAUGHT'

'the' acts as a link.

Can you help me to learn more?

I've seen this clue in The Telegraph.

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