I kind of get what you mean now. That's the issue with AIDs. When will you die.
I believe we went in this discussion recently around here.
When you get infected from however it was first transmitted, it doesn't mean you're going to die. A secondary chimp bite could potentially "activate" a dormant virion but really it's only that the new transmission from the bite is active. A human would need to have been infected with the same strain as the bite first.
Getting bit with HIV-2 while you have HIV-1 doesn't mean you're activated now. Getting bit with HIV-2 while you have HIV-2, you've introduced a second chance for it to activate.
Your teacher was giving you the recessive example to show that HIV goes dormant when introduced into the bloodstream.
Normally, we don't have HIV DNA in us if we're initially clean
it only comes once we're infected, or if passed from a mother to her unborn.
After initial infection, the virus can either go chronic and dormant, which Jiro provided examples in another thread regarding Magic Johnson and his case.