How to wrap a line around a conical surface?

Hello, I am trying to wrap a cured line 360 around a conical surface but I have no idea how to do it.

I need to recreate this blender.

Here is what I currently have set up.

The piece I currently have modeled is the inside grey part and I want to emboss the curve above and connect to the sketch below with a loft. The rear of the blender does not have the curve.

Thanks

Edit: Uploaded pics directly

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