@bat and ball even a basic fan needs a switched live and a neutral. A timer fan also needs a permanent live.
Your switch has a permanent live and a switched live. So no neutral. Somewhere up in the ceiling will where everything comes together there will some sort of junction box that will also provide the neutral. Thats where you need to get to.
If you have access to the ceiling void then that's easiest. if not, you nneed to pull down the downlights one at a time and see what you can get at through the 2 inch holes!
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