With no leaders, elect her in speaker's position (7)
I believe the answer is:
lectern
'speaker's position' is the definition.
(a speaker might stand at a lectern)
'with no leaders elect her' is the wordplay.
'with no leaders' means to remove the first letter.
'her' becomes 'ern' (I can't justify this - if you can you should believe this answer much more).
'elect' with its initial letter taken off is 'lect'.
'lect'+'ern'='LECTERN'
'in' is the link.
Can you help me to learn more?
(Other definitions for lectern that I've seen before include "speaker's position" , "Where talk takes place" , "stand in church" , "Bible stand" , "Support for bible in church" .)