I'm only going to speak in generalities here to shed some light on the problems and possible solutions, and not get into the specifics of one drawing or way of saving a file. Understanding these terms and formats is 99% of the battle in creating, transferring, and displaying high-quality images in the digital world.
To maintain the scalability and smoothness of vector drawings, which is what SVGs are, you must use a graphics file format that supports vector drawings, and also use a conversion method that preserves all the vector information.
WMF stands for Windows Metafile. A "metafile" format supports both vector and raster (bitmap) information. But the vectors in WMF are only line segments, not smooth curves. Even worse, the conversion can toss even that limited vector information away; the result is the same as taking a screen shot. That is, it converts the vector drawing into a raster image at the current resolution of the monitor.
Taking a screen shot of an image after zooming in (assuming the monitor is large enough) and then scaling the result downward is one way to improve the resolution and reduce the "jaggendness" of an image when converting it.
The most popular file formats that support vector graphics are EPS, SVG, AI native (Illustrator), and PDF.
The way you display/output a file must also support vector graphics, or the advantages of vector graphics (smoothness, scalability, device independence) are lost upon output. The display software/hardware must convert the vector information into pixels. This hardware/software was referred to as a RIP (raster image processor) in high-end equipment. A RIP takes vector formulas and makes a raster image at the highest resolution of the output device, which is typically a digital imagesetter that uses film, or a digital platemaker that exposes printing plates directly.