Hello again. If you search the Training/Behaviour section you will discover a lot of people have to earn their bird's trust. Indian ringnecks, from what I have gathered, seem to be particularly sensitive and fearful at times. If you can place the cage so that it near you a lot and you are reading a book and watching tv - no interacting with her at all - she will start to get used to you being in her life. If you put a variety of things in a bowl, the first thing she eats will likely be preferred over all the other items in the bowl at that time.
Fresh millet sprays seem to be loved by a lot of birds. Start by putting pieces in the bowl. She will see you doing this and start to associate you with the millet. She will start hoping you are bringing her more treats. Apples are another favourite - no seeds though. Take LOTS of time. If you go too quickly, you will not have a good foundation and in the end you will likely have to start all over. If you have a time frame of when you want to be able to pick her up and cuddle, forget it!
Also try not to look at her directly for very long. Remember birds are very afraid of being preyed upon. If she is more on the timid side, until she knows you are going to be her best friend, she may be worried you are fattening her up for lunch.

Keep your head turned to the side, and look at her from the corner of your eye. Talk softly to her. Slowly turn your head to look in her direction but keep your head bent down a bit. This should be less frightening to her.
Have you owned a bird before? What type/s? Try not to delay getting a larger cage. That cage may be making her feel trapped and adding to her fearfulness. In a larger cage, she will be able to move around and you will get a better idea of her need of personal space when it comes to your hands. I have read several of your posts, but do not remember if you said how old the bird is??? Do you have any history you can provide? This may help people to provide you with specific advice. I am quite new here but you will find that people here are very kind and care about not only their birds but how you do with yours.
When around Emi (love her name by the way) just assume everything you are going to do is new and scary to her. It is not you. But talk softly, tell her what you are doing and why - parrots are smart and they do start to understand you if you use the same words and phrases. This does not depend on then being able to talk. Move slowly and if she seems to start getting nervous or scared don't get upset and think she does not like you, just hold your hand still for a moment. Tell her everything is ok. She is a good bird. Give her a moment. Tell her what a wonderful thing it is you are doing etc. When she seems to relax a bit, then move your hand again. Remain slow and ready to stop again. Do your best to do anything in her cage when you are not rushed and instead have lots of time. Hope this helps.