My cat has a problem with her teeth?

My tabby (who isn't very old. She's about 1 1/2 years old) has problems eating. She refuses to touch dry food, so I fed her canned. But when she eats it, she chews it more and harder than usual. (Imagine you trying to chew up and soften a starburst immediately after popping it into your mouth. That's how she's eating) when I try mixing in a little bit of dry food, she just laps it up wit the wet food, not chewing it and just swallowing. I wanted to check her mouth, but she's absolutely refusing to let me near. She ducks her head away the moment I try. Does anyone have a clue on what's happening in her mouth? It just started yesterday. IM planning to take her to the vet, cause she can't keep on going like this with hurting teeth. I'd appreciate it if you can give me some answers!

I would be concerned that she has an abscess or other kind of gum inflammation. You for sure need to get her into the vet and have it checked out. Did she have any illnesses as a kitten? Cats who are sick when young tend to have more problems with their teeth and gums. 

Until you can get her in try watering down her wet food with some warm water. It will make it more soupy and easier for her to lap up. Hopefully that  will stop her from irritating whatever is going on more. If you really want to try and get a peek just to have an idea have another person wrap her up in a towel like a burrito and lay her on her back on their lap and hold her while you look in her mouth. She will be much calmer on her back than if you just try to scruff her. Of course, even if you see something it isn't going to replace a vet's advice so, this is just if you need to see for your own benefit. 

On an unrelated note, why the push to feed her dry? While not as good as raw in terms of nutrition, an all wet food diet is very healthy for a cat. I get the benefits of dry in terms of free feeding (I admit I am guilty of this) but if you don't have to then don't do it! And, if you are going to feed dry, make sure you go with a high quality grain free formula. You can read way more on the subject over in the nutrition section. 

Hopefully you can get her in soon.   Vibes that it's nothing serious!