I assume you've checked the fuse for the right front light (if there is a dedicated fuse for that circuit). If the turn signal flasher unit was bad; none of the turn signals would work. But here's a test which can focus in on the problem. Turn on the 4 way hazard flasher, and see if the right front light now works. If it does; the problem is either in the turn signal switch, or in the wiring from the turn signal switch to the right front light.
If the right front light does not work with the hazard flashers; then the bulb is either defective, or is improperly installed; or there is a bad ground connection for the light housing; or the power wire to the light is disconnected or broken.
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