OK. First, how old is she? If it is not yet appropriate for her to be in kindergarden, it is too early to call this a resistance to learning, she is resistant because it is not yet time for her to be sitting at a table learing to write.
That being said, dyslexia is, at its most basic form, the inablity to manipulate phonemes and diffucluty learning sound-symbol relationships. They can and do recognize letters. They can, and are, of variable intelegence levels, including very, very smart in all other areas, or not so much. They can have other things or not. It is kind of like trying to qualify knock knees with eye color, these things are independent issues for many children.
What you are describing is not dyslexia, and it would be too soon to see that, because it is not time to learn to read yet, so she cannot be behind, or if she showed issues, it would not yet be developmentally atypcial, but if she were to have a reading issue, say in 1st grade, then she might need an alphabet phonics program, instead of whole langague, to learn to read. Be vigalent, get intervention sooner, rather than later, but not until it is an actual problem.
What you may be seeing is an issue with visual motor, sensory motor, occular motor, or visual processing skills. Depending on how old she is, was she supposed to be in Kindergarten, but was held out? it could be something to explore. If she is 5, I would take her to an occupational therapist and a developmental optomitrist. Have her visual and fine motor processing skills evaluated. If she is 4, wait for a while, unless you see other issues with senory defensiveness, gross motor, behavior, or hyper activity that you have questioned already. If this is all you see, and she is very young, you might just be seeing a child who is not yet ready for school, and school will be there for her when she is old enough to go. She does not need anything other than enrichment to succeed in Kindergarten, and it sounds like she has already had that.
Do a little reading about dyslexia, dysgraphia, visual motor, fine motor, and visual processing skills. You can probably find all you need on a google search, but www.wrightslaw.com has many articles about these issues too, although, they will be geared to much older children than yours.
I think you can relax. My gut would say, put her in a program that meets her needs a little better. That is coming from an educational advocate who always comes down on the side of evaluate, early, evaluate often, and get more therapy and intervention as early and as often as you can, rather than less. My montra is NEVER wait with development, the price is too dear if you are wrong, but that is for people who have a real issue. Evaluation is always a win-win, but not if you are too soon.
If you think you need evaluation, get it, but go to the occupational therapist and tell them that she will not write, don't ask if she has something...just tell them what you see and ask them to tell you, the evaluation will go much better that way!
M.