Hi Jonatan,
The problem is, where the Guide Hairs are. The Interpolated Children get interpolated between the Guides and that can cause intersections with the Mesh:

You can use Simple Children to avoid that problem, or be careful where you place your Guide Hairs. For instance, use smaller patches (Hair Emitters) with separate Hair Systems. This is usually done for at least left side and right side and for eyebrows and so on. You can give the ears their own Particle Systems.