Hmm for some reason I can only get this wokring with one criteria at a time so if you are happy with having two lists on new sheet one for _qF and one for _qR you can use this:
Code:
=IFERROR(INDEX($A$1:$A$100, SMALL(IF(ISERROR(IF(RIGHT($A$1:$A$100,2)="qF","",NA())), "", ROW($A$1:$A$100)-MIN(ROW($A$1:$A$100))+1), ROW(A1)), COLUMN(A1)),"")
you can put in cell B1 then copy down, as soon as you add more data to column A1:A100 it should automatically update
edit: it's an array formula so you need to press ctrl+shift+enter when entering it