Nothing to be ashamed about

I have toyed with the idea about posting this for several days, but have decided to, thinking I can't be the only one this has happened to.
Seven months ago I put in my application in at some doctors offices trying to get out of the hospital. The hours are always conflicting with the ever changing/ never available daycare(for some reason they think people don't work weekends holidays, days before and after holidays, but that's a whole another story) and I never have any family to watch them. So I was looking more towards the doctors office hours. Well needless to say, it's been over seven months I never expected to hear anything. One week after my surgery I get a phone call for a job interview, what the heck? I'm feeling great and this is right up my alley.
I go in and I tell them up front I have thyroid cancer and I am nine days post op and I will need an RIA treatment, but i don't have an exact date set in stone for it yet. Well the office manager said her niece had thyroid cancer an had RIA treatment, great so she is familiar with this type of treatment and any side effects. By the way I did great on this interview, I have a degree in this, I am certified in CPR, I deal with doctors every day. No problem. They call me back a week later for a second interview, this time with the doctors and the director. It's down to me and one other woman who is seriously in her sixties(Not discriminating the whole office staff, including the doctors are young I mean twenties and thirties) I got this. I see these doctors at the hospital from time to time, and again I am up front about the cancer. I realize I do not need to disclose my medical information, but I'm taking a leap of faith by telling them, rather than they hire me and I am all of a sudden asking for a week off for RIA treatment and days off for doctors visits. I told them insurance is not an issue, I already have insurance an I know your insurance would deny me for my pre-existing condition.
Now I can hear the other woman's interview and she is giving her past work history and she said she stocked for an auto parts store. No medical background. More points for me! Nothing like being overly confident. I'm just excited to potentially get weekends and holidays off!
A few days later I get a letter in the mail from the doctors office saying while they were impressed with my qualifications and work experience they had decided to go with someone else, but would keep my resume on file in hopes of finding a position for me. Carefully tip toeing around the good luck in the cancer situation! Because that probably would be setting them up for a lawsuit.
Now I would be totally fine if I didn't get the job because it went to a more qualified person, but I am not fine thinking I didn't get the job because I have cancer. I feel discriminated against and like they are stamping me dead. It also makes me feel shamed to have this. I didn't choose to get cancer and I wanted to at least give the interview a shot and I sure as hell didn't look sick. I'm not ashamed of my scar and please don't make me feel ashamed of being diagnosed with cancer, especially by a doctor. As for now I will still be at the hospital fighting to get my FMLA.