The accident created a spark of the divine in the character but there are many ways for a DM to create mechanics for that.
The number of believers determined the level of the godhood (minor, lesser, etc)
The notoriety earned by the labours determined how long it took to ascend (the higher the level of godhood, the more points that are required)
The moment the level dictated by the number of followers had been reached with notoriety points, the ascension could begin.
With your bloodline though, the system I used could do with a major overhaul, but those were the basic principles if it helps any?