A goal and a man up on the Kent coast, the Coasters managed to succumb to the strugglers and ended up heading home with a 2-1 defeat.
Their late collapse left their manager spitting feathers.
It was a difficult trip back to Lancashire on the team coach and Challinor vowed to get to the bottom of their problems.
“Too many times we have not won matches that we should have ,” he told the club’s twitter.
“I’ve got to look, seriously, at what’s in the dressing room.
“How many leaders have we got? How many winners? That’s something that we have got to look at. I am looking on a daily basis.
“Some questions have been answered for me here today.
“You have got to look at yourself too and be critical, but how we haven’t won that game I do not know.
“It’s not disappoint. It’s totally unacceptable.”
Fylde’s next National League fixture is at home to Ebbsfleet United in two weeks before a Boxing Day trip to Barrow.