I was only able to find it online for over $30 so I quickly sketched one up.
If you need this part, feel free to order it at cost or download it to print locally.
The download link here on Shapeways (below on the page) will download the default DAE file that I originally uploaded. Here is a link to an STL version - https://goo.gl/9a38IR
I don't believe that the "Strong & Flexible Plastic" line is stiff enough to work properly and I'm not sure how the heat of the dryer would affect the part over time so it is not an option.
Note: To keep the door closed while waiting for the part to be printed, I used a small stack of 5mm neodymium magnets attached to the screw on the door just below the broken latch. Press the door closed firmly and they will stick to the metal face of the dryer.