There are no issues with taking your child with you on your run. We're talking about a leisurely jog at a very slow pace across a very short distance here; it certainly doesn't sound like you want your daughter to try out for the next Ironman. When did our society start questioning whether it's okay for children to move around a bit? Of course it's fine. In fact, it would be more harmful if you didn't allow your daughter to participate in such activities. Being active early on can prevent childhood obesity and other health concerns in the future.
If you'd like scientific evidence, here'sHere's a study suggesting what kinds of activity are appropriate for different ages. As you can see, physical activity benefits children of all ages and running is fine even for a 3 year old.
Of course the intensity has to be adjusted to her age, but as long as you don't make your daughter huff and puff until she literally turns blue, there is no risk whatsoever. If the exercise is too much, there will be very obvious signs, such as muscle pain, nausea, dizziness, and so on. If your daughter complains of any such symptoms, acknowledge it, tell her to rest and don't force her to run. Other than that, it's fine.