Did you know there is a book called, "Which Comes First, Cardio or Weights?" Long title, but great author, Alex Hutchinson. You may recognize him as the writer behind the Sweat Science column in Outside Magazine.
In short, the book makes the argument that one person can't fulfill their potential as both a weightlifter and a marathoner at the same time, SO... the more important workout should come first.
So the best way to do a run and a strength session is to do the run first. In a perfect world, you can run in the morning or sometime mid-day and then do strength in the evening. This is why Strength Training for Runners is in the evening. You get the benefit of a workout with a group, get the energy from the other online Zoom squares, the energy of a snack and a break between workouts and don't miss a run because you have strength on the calendar.
If you want to both run and do strength training and can only run after, this does not mean it is not worth doing. It is absolutely ok to do some runs fatigued, not at your best or a little depleted. The trick is to have enough energy to get in the workout prescribed, keep up good form to not get injured and not get so starving that you come home and eat your whole refrigerator.
Uncertain on how to program in your runs around strength training? Ask in office hours next Tuesday!