sara, probably a good idea to let her have the dummy for a little longer. Wait until you are both ready (like when she's not sick, and happy). Maybe if you can slowly get her out of the habit of having it during the day? So maybe during the day when she's happy, make sure it's put away in a cupboard so she can't see it.
Good luck with the tantrum throwing, can't help you with that one, we haven't reached that stage just yet.