It will be assumed that your tendon healing will occur meanwhile your fibular is healing. With a Weber C fracture, you've pretty much ruptured both major ligaments of the ankle (ATFL and deltoid ligament), virtually disrupting the syndesmosis and dislocating the ankle. This is a pretty serious injury.
If you're playing rugby, I'd assume that you're young and quite active. Usually, it takes about 4-6 weeks for a ligament to heal, although this is not guaranteed if there have been complete ruptures. Usually they have to be surgically attached to ensure the best chance of healing. Bone on the other hand, would take you 6-12 weeks to develop enough strength for you to moderately weight bear through, where you're looking for the bony parts to form what they call a soft callus to hold the bones together. In the meanwhile, you'll be pretty much non-weight bearing.
Thus, while you're waiting for your bone to heal, your ligament should heal over too. Unfortunately, you're at the mercy of your own natural healing with regards to bone and ligament, and you'll have to wait for the green light before you can start weight bearing in any matter. The best thing for you to do is try not to aggravate or refracture yourself doing anything rash. There's nothing really to accelerate healing except good nutrition.
The long term ramifications of non-weight bearing for so long is muscle wasting, especially of your gastrocnemius (calf), quadriceps, hamstrings and gluteal muscles. Not only is muscle wasting an issue, but ankle stiffness and swelling especially will be your main enemy once you begin your rehabilitation once you can start weightbearing and applying more pressure to your ankle. Expect yourself to be quite tender to weight bear once you're allowed to. This is normal, and if your bone is healed on X-Ray, don't be afraid of putting weight through your foot (within reason). Co-ordination, learning how to walk well and eventually run will follow with rehab.
At the moment, you'll be looking at about 4-6 weeks after you're allowed weight bearing before you can walk without your crutches, 2-3 months after weight bearing before you've got the strength to be walking 30 minutes a day, and 4-6 months after weight bearing before you're thinking of running again. Results vary, and I'll tell you, a good physio will improve your outcomes.
I can foresee that you may have issues with ankle stability considering the extent of your injury, although fingers crossed, your ligaments are healing along with your bone. Good luck, hope this helps.