No one starts out liking whiskey; it's an acquired taste, like coffee or cigars. And, as someone who personally enjoys whiskey, there is absolutely nothing wrong with not liking whiskey. In fact, do yourself a favor and don't try to develop a taste for it; you'll save yourself a whole lot of money in the long run. As long as you like what you drink, don't let other people give you shit for it.
That said, I would recommend trying something with broad appeal like Woodford Reserve, neat, with just a couple drops of water to help cut the alcohol down. Pour it in a proper glass (a small rocks glass, or a Glencairn glass if you're so inclined; anything but a shotglass), let it breathe for a few minutes to open up the flavors, and sip it. You're not in a frathouse, you don't need to shoot the thing to up your street cred (actually, nothing will destroy your credibility faster in a whiskey enthusiast community than taking a dram of fine spirit in a single gulp). If it's too harsh, add a couple more drops of water and let it rest a while longer. Once you get it to the point where the alcohol doesn't immediately burn, you can let it sit on your tongue and taste the complexity and depth of flavors, from the juice itself, to the woody quality the spirit picked up from the barrel, to the additional background spices and flavors that permeated the wood during the aging process. Savor it slowly and see what subtle nuances your nose and tastebuds can discern. It's a fascinating phenomenon, a delightful hobby, and a good way to ensure you die penniless.
On second thought, don't bother. SHOTS, SHOTS, SHOTS, SHOTS!