First and foremost, it is imperative that you use your kitchen exhaust fan whenever you are cooking.
In order for your fan to work properly you need to turn it on before it is needed.
- In other words, turn the fan on before you even fill the pasta pot with water.
- This allows the air in your kitchen to start moving towards the fan (and away from your light fixture) which makes it more efficient and less noisy.
- Another tip for reducing the fan noise (a common reason why homeowners do not use their fans), is to crack a window near the fan in your kitchen.
Using the fan will reduce the moisture that may have contributed to the demise of your light fixture.
It is not clear from your question whether the fixture (can) is defunct or whether it is "eating" bulbs. If the fixture is defunct you will need to replace the housing for the can light.
- It is possible that there is rust on the connector that could be brushed off with a bit of steel wool.
- I strongly recommend you call an electrician but if you plan to attempt this yourself, please remember to flip the breaker to this fixture off before trying this.
If the can is eating bulbs, then you may want to try replacing the existing can trim with a "wet rated trim", such as those required (by code) over bathtubs and showers. It has a clear plastic lens over the bulb such as the one in the link here.