Each character in the pantheon has the thing that they're the official deity of.
Picard - Tea. His Earl Gray never gets cold.
Riker - Beards. As long as he has a beard, any show he's in gets better.
Data - Cats. They always purr for him.
Geordi - Engines. He can repair them incredibly fast... but he has to tell the truth about how long it will take.
Worf - Knives. He has the power to singlehandedly choose the leader of the Klingon Empire.
Beverly - Redheads. She can gut your corpse and get away with it.
Pulaski - Technophobia. She can gain eternal life... with a hairbrush.
Troi - Empathy. She can enter your holodeck fantasy at will.
Barclay - Escapism. He can take a ship 30,000 light years in two minutes... but only once.
Wesley - Child prodigies. He made a static warp bubble that swallowed Pulaski.
Guinan - Bartenders. She can stab Q and get away with it.
Sisko - Baseball. He can build it and they will come. At least Buck Bokai will.
Kira - Threats. She can turn into a Cardassian
Miles - Ale. No matter how much you make him suffer, he always comes back.
Bashir - Darts. Hits the bullseye every time. Even with a blindfold.
Odo - Jello. Doesn't have to eat.
Quark - Ears. Hears everything.
Jake - Writing. Can undo 70 years of history by killing himself.
Jadzia - Slugs. Put a slug in her and she'll live 300 years. Unless she runs into Dukat.
Ezri - Multiple Personalities. Can recover from terminal schizophrenia overnight.
Nog - Root Beer. Can guzzle the stuff without getting hyperactive.
Rom - Toilets - Can get away with mentioning "waste extraction" on a Trek show.
Martok - Battle scars. Has one eye, but binocular vision.
Joseph - Creole food. Can magically put an alligator in stasis.
Ross - Compromise. Can get in bed with Section 31 and make it look cool by quoting Latin.
Dukat - Treachery. Can kill the Mistress of Slugs.
Garak - Unrequited love. Can hem a set of trousers in 0.9 seconds.
Janeway - Hairstyles. Do not underestimate the power of the Bun of Steel.
Harry Kim - Bad luck. Can die multiple times and keep coming back... though he often wishes he hadn't.