If the discrepancy between the wide trace and the narrow pad is so great that the short length of "much narrower trace" creates an undesirable bottle-neck effect, you could define a small fill-zone to make the transition. Even that is more work than I'd like to do for more than a few instances of this footprint.
If you widen them, adjust the center location so the additional width falls outside the component body. That will preserve the gap between pads - i.e., pad 1 to pad 3, and pad2 to pad3, in your picture. (This is often done to create a layout that is friendly toward hand-soldering.)
If you modify the footprint, consider adding short stubs to pads 1 and 2. Make the stubs wide enough to smoothly terminate the wide traces. There are several posts on the Forum talking about how you can create pads that are more complex than simple circles or rectangles, by defining multiple overlapping pads.