Fluoxetine - does anyone know when I should take fluoxetine, morning or night?

Hi, alkadere!
You can't live the way you are without help to control this disease... and it is a disease. I understand how scared you are right now but your doctor feels that medication is your best option.
I can't tell you that you won't have side effects but just because you did on one antidepressant doesn't necessarily mean that you will on this one. The thing is that even people who do have side effects generally find that they only last a few days to a week or so. There's also another medication that you can be prescribed for a temporary period of time to take until the fluoxetine fully kicks in.
Try not to let your anxiety do the talking for you. This medication is intended to help resolve your anxiety issues and you'll need to help the medication help you. Try to find things that take your mind off of your situation... take long walks, read a good book, watch a great documentary, meditate, work out, anything that distracts your mind.
Best regards and love to you too.
Wildcat
PS, it can be taken morning or evening and you may have to play a few times to see which works best for you. Some people may experience some insomnia and restlessness in which case morning would be better. Other people may find that it makes them sleepy so nighttime would be the way to go.