I agree you need to do what you need to do.  You don't have to enjoy doing it, you just have to do it.  
One reason I'm jumping in this thread is to mention that not all normally nocturnal animals you see out in the daytime are sick or injured.  There are a lot of different reasons possoms, raccoons, coyotes, foxes, skunks, whatever, may be out during daylight hours.  There is also no reason a sick or injured animal won't be out at night.  I always assume that any wild animal I see, day or night, could be infected and treat them with caution.  
Also, when you get your refresher course on firearms, I suggest you discuss what shells you should use in your shotgun for which animals.  I don't know the gauge of your shotgun, but there is a tremendous difference in the size of the shot and the type of load (Field Load versus Turkey Load, for example).  You want ammunition powerful enough to do the job but not so powerful you are afraid to shoot it.  
I'm also relunctant to use a .22 if there is another choice.  Sometimes a .22 is the right choice of weapon, but it has a much greater range than a shotgun.  Ricochets and strays can travel a long way.  I saw an article in the paper today where someone died because someone about a mile away fired a rifle up in the air.