This is from the immortal/god etc. helpfile.

Immortals (IMM): Immortals are beings who wield the influence of the
spheres. Most have priests and other followers through which they seek to influence the mortal planes more directly to further their philosophies and goals. The most favored of these mortals are tattooed with the mark of their patron deity. Immortals are far beyond the abilities of mortals, and only the most foolish would even think to approach one with anything less than awe and reverence. Immortals may take any form, or instead remain unseen by mortal eyes.

Neltouda IS an immortal. Meaning, you should approach her with awe and reverence. Awe and reverence does not include random hugs, tickles, belly rubs or even sitting on her head. I think this applies with all immortals. If an immortal wants you to approach them in some way that is more intimate than standing and talking the role play would be very clear that you have permission to do this. If it is not very clear to you that you have permission to touch immortals then don't do it. Definitely don't touch Neltouda.