Can almost guarantee the valve cover gasket on that side is leaking slightly. Oil drips down on the exhaust manifold and the catalytic converter, burns and it is sucked into the fresh air intake at the base of the windshield. It will also tail up around the hood.
The repair is not terribly difficult though the passenger side is harder due to the heater hoses. And it's likely the driver's side gasket will go soon too so best to have both gaskets replaced.
Like I said, not a hard repair but a dealership quoted me $220 to replace the passenger side gasket on my '03 - made it easy to decide to do the repair on both sides myself.
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2003 Renegade, Black
- 3.7L, 42RLE, 4X Guard Trans skid, Factory Engine, T-case, Tank skids, Modded BoulderBars sliders, OME 927/948, Bilsteins, JBA A-Arms & 1/4" top plate, 2-ring clevis, 1 extra rear iso/side, Moabs with Firestone Destination AT's 255/70-16. Future: 4.10's