Fujifilm X10 lens corrections profiles are not supported in Lightroom.
Here is the list of supported profiles : Work with lens profiles in Adobe Photoshop, Lightroom, and Camera Raw
The lens corrections for the X10 are written into the raw file by the camera and Adobe just uses those, so no external profile needs to be specified. If you have LR 6/2015 and uncheck Enable Lens Profile Corrections then you'll see an info balloon that says a built-in profile is used, and if you click that it tells you specifically what corrections have been applied. If you have an earlier version of LR the corrections are still be applied, just no information about them is shown. Here is what ACR 9.4, which is the same raw engine as LR 6.4 and LR CC 2015.4, shows for the X10 lens corrections:
Many thanks for your help!