You are going to have to take her to court to get her evicted.
You are going to have to be more direct and may even have to get a solicitor to send her a letter with the offers and make it clear of the outcome depending on what she does.
This will not work on your own and without the intervention of the courts.
If she is saying you are a defacto couple then you will apply the following but it is a short relationship and the law will mainly look at contributions you have both made
Step 1: Determine what the assets are and their value
This will include all assets and their value as at the day that you are dividing them. It does not matter whose name the assets are in, they will form part of the matrimonial pool. Superannuation entitlements are also included.
Step 2: Determine what contributions you and your Husband made towards the assets.
This includes a consideration of both financial and non-financial contributions. Consideration is given to what assets each of you brought into the marriage as well. The weight given to your initial contribution will be dependent upon the length of your relationship. The longer the relationship the less weight given to the initial contribution.
Step 3: What are each of your future needs.
Consideration is given to your respective ages, your comparitive income earning capacity as well as other factors.
IF these things don't balance equally for each spouse, then an adjustment is made in the percentages.
Step 4: Make an order that is just and equitable between both spouses
But you are not defacto