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9d.8lets.?e???d?r.Instrument Queen used on an album.
13a.9lets.T???e?s?r.Academic in favour of encasing ship in iron and gold.
15d.9lets.R???d?o?s.Greedy au pair with cos salad.
16d.8lets.R?s?s?r?.She got up to get betrothed right away!
19a.4lets.E???.Spot mole on middle of green.

19a espy

Your first letter in 13 is definitely wrong - could this affect others as well?

record (album) er(queen)
professor pro(for) iron(fe) ss(ship) or(gold)
au pair cos - rapacious (greedy)
Rose (got up) Mar(r)y betrothed
espy

13a Professor

Thankyou for help.