Local paper cryptic

[charity-baker47]

the heat has got my brain tonight. Can't seem to get started.Please help
7a Removing the inequalities caused by a night away (7,3) 3rd letter of 1st word is H
9a Nauseous hostility? (3,7) 3rd letter of 1st word is P. 1st letter of 2nd is F
10d David! go lay ouy for the bareback rider (4,6) 1st letter of 2nd word is G
21a Reckoning i am in the eastern depot (10) 1st letter is E last letter is n
Thanks in advance.

[tommy.toon]

9A: ill feeling?

[bert_h]

21a eastern depot = E STATION, I am = IM, so EST-IM-ATION

[Flyhalf]

Evening out
I'll feeling
Lady Godiva

[Mamyalynne]

21a E st(IM)ation

[treetops1]

10d Lady Godiva

[bert_h]

7a surely EVENING OUT (two meanings)

[wardlaw]

10d lady godiva - anagram

[wired]

7a looks like- evening out
10d lady godiva

[bigbadmarty]

21 estimation ?