Go to Schematic Symbol tab and change the label to “QI Wireless Charging TX + RX” (summarize the title, short and sweet) and set width to “0.9” and height to “0.5”
Then, go to the Schematic Connectors tab and set to:
The primary problem with using Illustrator is the svg is dimensioned in px, usually at 72DPI which Fritzing will guess at the DPI conversion for (using only 72DPI and 90DPI I think) unfortunately current Inkscape versions use 96DPI so the size when converted to inches will be wrong unless you rescale the image that is likely what is causing the size change in the images here. You need to find the data sheet for the original part and get its exact size in inches or mm to set the svg to its real world size which is what Fritzing is looking for.