Ruger SP101 double action 22 long rifle. Fantastic kit gun, great small game killer and great range plinker. Nothing complicated to learn, but will let you develop a proper handgunning technique that will be transferable to any other handgun you shoot in the future. My "standard" first handgun recommendation for the last ~15yrs has been a Ruger Mark II or III semiauto pistol in 22lr, but the 4" SP101 rimfire has simplicity and sex appeal on its side, so I'm torn between which of these to recommend over the other.

(Buying both is the best option, of course!!!)

If you're considering a higher powered revolver small game weapon, then I'd HIGHLY recommend the 327Federal Ruger Single Six or Blackhawk. Great speed, but without quite as much 'overkill factor' that a 357mag might have with 125-180grn bullets.