Agaian put villain on a complete range of likely hands, don't just pluck out a few hands that beat you and question it. Get pokerstove and use it. You'll find with topest overpair, the nut flush draw and all this equity you can never fold here with all the hands you're crushing/doing well/doing okay against in villains range and nothing that's killing you.

Try to be objective and give the analysis a bash without being results oreintated. What villain shows upwith in one given situation is in no way demonstrative of what you should have done.

Ohh and you're a favourite against the hand he showed up with, so questioning your play due to this is even more rediculous.

Board: 5s 4s 3s
Dead:

equity win tie pots won pots tied
Hand 0: 58.182% 56.87% 01.31% 563 13.00 { AhAs }
Hand 1: 41.818% 40.51% 01.31% 401 13.00 { 5d3h }