You need to see a therapist in order to work this out...antidepressants are not enough...this is a form of depression that is very treatable.
Stressed? Depressed? Burnt out?
Feeling invisible in my experience occurs when your self-esteem or self-belief is low and you want validation from another person. Feeling invisible can be painful (and hurtful).
Thrashing yourself at the gym rarely achieves anything except make you feel tired and disillusioned (and sometimes ill).
What are you trying so hard to avoid? What don't you like (?about yourself) that you're trying so hard to hide? Exercise may be a way for you to feel more in control.
I used to severely over-train (8+ hours a day of fairly intensive exercise) and the reason was because I was uncomfortable with my weight and body image (which exercise didn't address) (and because I wanted to be selected for the 2000 Olympics).
I think it's normal to get angry when you're tired and frustrated.
I have found that little or no eye contact can occur when your mood is low or when you're not being totally honest about what you're thinking and feeling.
I have found that doctor's also avoid eye contact when they feel guilty about how they're treating you.
I too, don't like the way anti-depressants make you feel.
Have you been diagnosed with depression? If so, did your doctor do a physical exam before diagnosing you? There are some medical conditions which can leave you feeling fatigued and so drop your mood.
I would probably suggest that you back off the exercise or possibly even take some time off work (or reduce the number of hours you currently work).
If you are depressed you may like to try some psychotherapy.
I really hope you start to feel better soon.
J