Hey man, I was in the same position as you!
I got my bike, took the course, and (I, too, live in a very rural area) started putting around my house, doing a mile or two here. Gradually worked up to faster roads, rode into town and tackled a tiny bit of traffic, just little by little. No need to rush. Lots of people get hurt thinking they have to impress everyone by just how quickly they can learn to ride and push themselves well beyond their abilities!
No need to rush, you'll get there! You're doing the right thing taking it little by little. Scott suggestion about gear is one I'd heed too. It doesn't have to be motorcycle specific, but over the ankle boots, gloves, good strong pants and a good strong jacket (and of course, a good helmet) will go a long way in case you get off the bike before you wanted to... When you've ridden more you might decide to stop wearing your gear and that's up to you (I still wear mine, all year round. I like it!), but new riders should seriously consider beefing up protection.
Here's a fun statistic for you, there are two groups most likely to be in an accident. Riders who have ridden for less than 6 months, and riders who have ridden for 24-30 months (2 to 2 1/2 years). Why? Well, riders less than 6 months have less experience of course, and many of them overestimate their experience. Riders who have been riding for 2 years, there's a sudden spike in accidents. Why? Because they think, with two years under their belt they are experts, let their guard down, stop being vigilant, stop practicing, stop trying to hone their skills, and suddenly encounter a situation (like a left turner) that they hadn't encountered in real life for, and.. uh oh!
So, don't quit practicing, ever! Once every few weeks I'll find myself on a long straight stretch with nobody behind me and I'll practice hard braking. I keep myself fresh and comfortable with my brakes, confident that I can apply both quickly, strongly, confidently, and get the bike stopped QUICK. I practice swerving, I'll even see a parking lot with a 2x4 laying in it now and then and, after checking it for nails, will ride over it a few times at various angles to practice going over obstacles. Bottom line is, you can either encounter a situation for the first time (or the first time in a long time) out on the road where your life depends on it, OR, you can make it so when someone DOES pull out, or a small animal (i.e. obstacle) or car part DOES sneak up on you, or whatever else happens happens, is a routine thing you've practiced for so many times it's just instinct.
That HAS happened to me. Minivan pulled out, I wouldn't say in front of me, more like was going to T-Bone me. Saw it out of the corner of my eye, and it was like I was on autopilot, without thinking I was swerving, braking HARD without locking anything up, and checking my blind spot to see if I had room to move over into the other lane. (And holding onto the horn button for a minute or five.... hehehe)
"8 But God demonstrates his own love for us in this: While we were still sinners, Christ died for us."
Romans 5:8 (NIV)
2014 Kawasaki Vulcan 1700 Vaquero ABS SE
iPod Connector Kit, Kuryakyn Highway Pegs, Mustang Touring Seat, Marvella's Hitch, Kuryakyn Trailer Wiring Kit, Haul-Master Tag-a-Long Cargo Trailer
2011 Honda Shadow Aero 750 (Wife's)
Memphis shades quick-release windshield, OEM Solo Seat, Mustang Fender Bib, Chrome Solo Luggage Rack
Past: 2006 Vulcan 900 Classic LT