Your body becoming addicted to something is normal. It is a process to remove oneself from medication, as you may have all the coping skills in the world working for you, but you don't have them working for without medication and the withdrawal effect. That is a true test in and of itself, more often than not. To function without the medication and get your coping skills working correctly.
Many a person often believe what they've learnt was all for nothing when they withdraw from medication. They couldn't be further from the truth. Medication has a withdrawal time frame. Doctors tell you the physical properties answer, such as when the drug has removed from your system. They don't tell you the psychological answer -- being the more important one that you have to overcome, that causes physical symptoms, in order to truly function without the property in your body helping you.
That psychological time frame is often months 3 -6, minimum, in order for you to get a grasp of life without medication and then remember all you've learnt and applied to yourself, then do it in a rapid basis without medication.
I personally took a different path -- I worked out the medication was worse for me right from the get go, thus I implemented all my own strategies without it, so I didn't have to endure withdrawal years after therapy and learning skills. I got off the crap quickly, in the scheme of things. That was my choice, my view, my personal beliefs about medication for psychology. I believe in meds for physical issues that have well proven outcomes, such as blood pressure medication, heart medications, those type things, really do save lives and keep people alive. Psychological medication does not have such a nice track record, with far more misses than hits, far more complications and unproven theories, than proven.
It won't matter who you are though -- it will take time to get off of medication, any of them. Step 1 is it getting out of your system. Step 2 is coming to terms with life without this foreign matter in your body any longer.