You ARE doing her a disservice. She doesn't like it. Stop doing it.
Instead, read TO your daughter. Get beautiful picture books with lovely rhyming stories like Brown Bear Brown Bear, What Do You See? And Goodnight Moon. Read them over and over - lots of repetition.
Your reading specialist friend is giving you good advice. Why are you doubting a reading specialist? For goodness sakes, she knows her job. Listen to her wisdom and instead of pushing reading lessons, try to instill a love for books and for reading by taking the pressure off of her. Get manipulatives for her to play with, and do fun lessons with them, a little at a time. Which one is the triangle? Which one is the circle? Can you find the square? Let's color the square GREEN. Which crayon is green? What color is a banana? Can you find the banana in the picture?
Get puzzles and help her learn how to do fun, easy puzzles. That helps develop her spacial sense. There are SO many things that little kids need to learn that have nothing to do with reading. All these ancillary things that help grow a child's mind so that they can make sense of their world - receptive and expressive language, being able to remember and carry out 2 directions, learning to move their body in space, so many others. THESE are what you should be thinking about. Ways to strengthen her little hand so that she will later be able to write. Playing with playdough, picking up small little things that fit into other things, like screwing a nut onto a bolt. (Choking hazards - be careful.) Small fine motor skills that develop those little muscles.
Skipping, tying shoes, running, jumping, large motor skills. Hitting a ball off of a tee. All of this helps make her brain work in ways that will eventually make her ready to learn. Meanwhile, read read read TO her. Make it a loving activity with her curled up in your lap and enjoying time with you. Take her to the library and pick out a big stack of books. Treat them as if they are very special. Don't fuss at her for "loving" them, but do teach her to respect them. Never take away books as a punishment. Do use them as an incentive.
I hope this will help you to decide to stop pushing these reading lessons.
Dawn