I will throw a little different perspective out from Ed, more just thoughts than what to do. i have never followed a training plan very well. i have usually looked at several and done my own thing. maybe i should follow one, i may make the improvements i really want in my running. however, i think my training has been successful, i have hit/exceeded my goals and PR's for the last several races.

i looked at some of the past results for the race, the name, trail, implied to me it was trail race (not on a paved path) which would change the training and timing substantially. the course looks like a really nice asphalt path, there are some fast finishers in the race.

so for your 6 week training, i would suggest:
evaluate where you current ability is, how far and long (time) are you currently able to run, walking in the middle is acceptable.

if you are working out on a dreadmill in the gym, some people say that the work out is as much as 20% less than outside. i have very limited time on a treadmill so i can't say from personal experience, though i still run outside in snow, rain, or sub 0 weather rather than go to the dreadmill.

do you have a goal for the race, beat a time, just plain finish, run the whole way, beat your wife (in the good way)?

see where your current fitness level applies to the training schedule above from Ed, or another that you may find elsewhere.

knowing nothing about your current level, i would guess that the 10k will take you between 55 and 70 min to finish. in your training, you may not ever run a full 10k (6.2m) that is okay. you should run for at least the amount of time that you plan on running.

if you notice on Ed's plan, never are distances mentioned. i think you should be aware of how far you are going so that you be a bit prepared for the race distance.

on race day, you will get a huge adrenaline from the crowd and excitement. don't go out too fast

also, during your training, remember to consider your fueling. an hour isn't too long to worry about it, but make sure your are adequately watered and fueled. i almost always run with water.

excited to hear what you choose to rain and how the race goes!