HID kit does not fit oem wiring harness
 

I have a 2009 sv and I recently bought new headlights with the black housing. I purchased the hid kit at the same time, but the wiring from the new ballast to the stock low beam connector do not fit. I have attached a picture of what the connector from the HID kit ballast looks like.

I think my issue is that the HID kit is for an h11 bulb, and that does not fit my stock connection. Can somebody tell me which connection/harness I need to make this plug right in? Alternatively, can you splice right into the stock oem wiring? I would rather not, but if that is what I need to do then so be it. Thanks in advance.