About two weeks ago, I've bought a new, 3 months old kitten. I had her in a small room at first, to get her used to the smells, my other cat, etc. She plays a lot with my other cat and I think they're bonding quite well. Now, one thing I noticed is that she is quite wary or actually scared of me, when I approach her directly. What I mean by this is: When she stands somewhere on the ground, and sees me looking at her and walking to her, she always runs away and hides somewhere nearby, only to come out 20 seconds later after realizing I didn't do anything. If I stop her from running away, and start petting her, she then seems to realize I won't do anything, and does not run away anymore. She doesn't seem to be generally scared of me. She sometimes comes sleep with me, or cuddles on the chair next to where I work. She also usually purrs when I pet her, closes her eyes, etc.
Now, I know that two weeks is nothing for a cat, and she probably hasn't got used to the new environment and me completely. I'm just wondering if there is anything that I can do to show her I only want to pet her.
As for the reasons for this behavior: The only thing that comes to mind is, she has had diarrhea recently (actually still has it, but better now). I had to pick her up and clean her, much to her discomfort. I guess I did approach her directly to do that, so maybe she is associating me locking on to her and walking into her direction to something bad?