Not necessarily. You can conceive again whenever you ovulate. Having an abotion does not affect that aspect of your fertility unless you have an infection. The sperm are extremely small and can make it through a cervix without having had surgery to open up the cervix. So, your fertility is the same.
Clarification. You would want ( not would not want) to wait until your doctor tells.
NO. No that is not true, and you would not want to wait to have intercourse until your doctor instructs you it is safe, and if you do not want to become pregnant , your doctor can offer you many birth control options.