Solution to 3D has been deliberately left unsolved and is to be answered only by a non-regular / novice commenter, with proper annotation. Those who have answered earlier in the week, please give others a chance.
Open for anyone to answer, if not solved by 1 PM.
ACROSS
6 One soon retrieves part of the loop (5) NOOSE [T<=]
7 Poorly dressed - carp about bum (8) FRUMPISH {F{RUMP}ISH}
11 She stops destruction with her spirit (7) BANSHEE {BAN{SHE}E}
13 Act of anointing - do without force (7) UNCTION fUNCTION
14 Talk about separate section (11) COMPARTMENT {COM{PART}MENT}
19 Plant is clean, perhaps (7) SANICLE*
23 Easy to read on holy book after doffing cap (7) LEGIBLE {LEG}{bIBLE}
25 Maybe one got hard-hearted at work (2,3,2) ON THE GO {ONE+GOT+H}*
26 Alarmed about new municipal council member (8) ALDERMAN {ALARMED}*{N}
27 Burst forth and get pure extract in return (5) ERUPT [T<=]
DOWN
1 Make up for an alien in heavenly surroundings (8) COSMETIC {COSM{ET}IC}
2 Set right the salesman's attitude (6) REPAIR {REP}{AIR}
3 Eat dessert topping or bay rum? (10) ?F?E?S?A?E (Addendum - AFTERSHAVE {HAVE}<=>{AFTERS} - See comments)
4 Leaders never understand most basics, have no feeling (4) NUMB Acrostic
5 Another mishit results in thin strips (6) ISTHMI*
6 Approach outside court, honey (6) NECTAR {NE{CT}AR}
8 Long search to begin with confidence (7) PANACHE {ACHE}<=>{PAN}
9 Do live with a refusal (5) BEANO {BE}{A}{NO}
13 Somewhat terrible pain - opt out (2,2,1,5) UP TO A POINT*
15 Fearsome animal casing the vehicle (7) MACABRE {MA{CAB}RE}
16 Shows board with gold cross (8) TABLEAUX {TABLE}{AU}{X}
17 Carol's school dress is appropriate (5) PSALM {P{S}ALM}
18 Raised pig without animal handler (6) MAHOUT {HAM<=}{OUT}
20 Upset horse in the middle of a river (6) NIGGLE {NI{GG}LE}
22 Complete after midnight - refuse to go in here (6) GUTTER {UTTER}<=>{niGht}
24 Manages to trim the top of trees (4) ELMS hELMS
Reference List
Force = F, Girl = G, Hard = H, New = N, Alien = ET, Court = CT, School = S, Horse = GG