I know that this can be done through the reader or by pulling the battery for a duration of time however:

Is there a way to clear the check engine light in a car by pulling a specific fuse either under the hood or on the driver side?

I read somewhere that a Clock fuse could be pulled, but I do not see this and believe that is for a different car other than 2005 TL.

Thanks in advance.

Take it to Advance Auto/Autozone and have them pull the codes and clear it for free.

I was just wandering if the code stays there and needs to be cleared even if I disconnected the battery for 30mins and the check engine light has gone away?

Yes, it is still there until you have it cleared.