According to Tukish Civil code your spouse can not take your asests you had before marriage. However if had not chosen law of property before marriage it means that at the time of wedding ceremony youhave chosen the legal law of property which is the spouses can both take the half of the assests they had together after the marriage.
so this means that your wife can not take the half share of your flat. Afterwards, if you do not have any children this means that you will not give her any child support which is good in your case. but the judge may sentence you to give her a suitable alimony which can take a time till she gets married again.
Besides these you may be sentenced to give her a suitable compensation if she wants at her petition and she deserves that as well. It depends on how much money she wants and how much of it will be accepted.