In my area, a preschooler who needs speech would have an IEP and a teacher/speech therapist would come to them at their private preschool (because we don't have public preschool where I live). There has to be a way to have an IEP in preschool - it's required under IDEA.
Definitely request a special ed eval and list the areas of need: speech, OT, anxiety, sensory processing and a medical diagnosis of ADHD. (How are her social skills? With this combo, social skills will often lag.) The last page of this has a template to request an eval: https://www.elc-pa.org/wp-content/uploads/2021/08/getting-a-special-education-evaluation.pdf