2435: A little puzzle

Unclued lights, two of two words, are of a kind, verifiable in Brewer. Elsewhere, ignore two accents.
 

Across

Most popular

Michael Gove

‘I’m a new kind of Christian’: Jordan Peterson on faith, family and the future of the right

12    Second horn and nail defective, and with one fewer hole in the head (10)
13    Champion forgetting wife’s secret (5)
14    Online mention special interest — all these replies! (7)
15    Still on the phone maybe? (10)
16    Tricky to improve on car roof (7)
20    Old king put round fence (4)
22    Order is ‘Work!’ rejecting fuss (7)
23    Dowdy type, unfeminine, is cut (4)
24    Keep hold of mite in central custody (7, two words)
26    In ocean, what foreign tree? (7)
31    Turn divine, taking fight to the deity (7)
34    Chemical compound found in a chimney (4)
36    High-quality umpire’s bad mark (7)
38    Airline food including alcohol I swallowed: X-ray after it? (10, two words)
39    Strangely pleasing, culling a mountain plant (7)
40    Bard’s cave in western part of continent (5)
42    Twisted yarns snare young sow, turning (6)
43    To fall down cryptically suggests Welsh emblem (8, two words)
 

Down

2    Botanist heading off from peninsula to travel (8)
3    Change edition containing no women? (5)
4    Obscure pub across ravine (7)
6    Domestic fowl caught on pegs (6)
7    Catch spoiled notepaper Poe’s thrown away (6)
8    Indian music in the style of Panama? (5)
9    Prominent design in paper, naturally a turning point (13, three words, one hyphen)
18    Such healthy food with no air miles? (5)
19    Bear, on film, special animal for them? (9)
21    Uniform carried by those qualified (5)
25    Stubborn, are confused with doubt (8)
27    Fish that is around delta (3)
28    Exercise wearing a piece of armour, but not fighting (7, two words)
29    Fun in pub: take up strong drink with top off a soft one (7)
32    Scots carpenter sounds genuine (6)
33    Advice about...