Evedawn,
I suppose I am in the unique position of being on both sides of the managers's desk regarding this issue.
I had a tough year in 2011 and didnt deal with it at all well. Long story short, a long term relationship broke down, I was really hating work, my finances were all over the place and I simply could not focuss nor did I have the energy to pull myself out of the rut I was in. I started getting mental and physical symptoms of stress, constant fatigue and aches and pains almost every day. I was checked out by my GP and deemed physically fine. I was sent for Cognitive Behavioural therapy which lasted 12 weeks and it really helped to control my anxiety and stress issues. I was too ashamed to tell any of my work friends or my boss at first. I took a week off work with "the flu" then the next month with a "chest infection" (all lies, was just so ashamed). I felt that I would be judged and like you say, a stigma attatched to me. I am a middle manager in our compnay and thought my stress would be seen as weakness and there would become a lack of trust and respect for my position by those I work with.
After 4 months of feeling awful, I told my boss how I was feeling and to her credit she offered me all the assistance that the company could possibly offer. I had 2 weeks off and then returned to work on half days for a further 2 weeks. I didnt want to ask the doctor to sign me off as I felt that it was like admitting I was weak. However, it was the only way I would get better and I came to realise that!
Now, recently I had a staff member come to me with stress issues and I was appalled at how other staff were talking about him (he came clean to us all that he was stressed out.) I felt the greatest of empathy. Stress is such a big issue and to those who havent felt the effects, it is often seen as a cop out or a weakness. Having suffered myself (and I am a very strong person usually) I will now always listen and assist those who are suffering.
Company's have a duty of care to its employees. Your situation will be delt with privately and properly. But you do have to ADMIT firstly to yourself and then to others that you are not coping. It is the first stage to getting back on your feet!
GOOD LUCK