In QGIS from the "project-->Save as image" dropdown it is possible to save the current map canvas as Tiff. A world file is also automatically exported. Nice! BUT, I use the TIFF+TIFW in another program that only accepts .TFW file. This is the same file, but with a 8.3-type extension. Is it possible to get QGIS to export with the TFW extension instead of TIFW?
Yes, you can manually edit the file extension to be TFW instead of TIFW. It is a perfectly acceptable standard and QGIS should read it without breaking anything. The TFW file is just a very simple text file. You can open it with a text editor if you want to see the contents. If you really want, you can have both a TIFW and a TFW in the same folder without upsetting most software.
WLD is another option in some instances (depending on the versatility of your software) and is in fact what QGIS 2.6 outputs if you go