If you want to get married in Qatar (or if you want the country to recognize your marriage as legal) then you need to follow the laws and customs of Qatar--parental approval, etc. If neither of you care about this, it is just a matter of finding a way to get her to a country that has laws that will allow her to marry by her own choice.
However, you need to keep in mind that if she travels to Australia on a tourist visa, and you marry there, it is no guarantee that she will be allowed to stay. I know that in Britain, the United States and Canada there is a strong chance she would be deported for violating the terms of her visa (i.e. she said she was coming to visit but got married). There is always a concern about fraudulent marries in which people marry citizens in order to gain residency, and Western governments are always worried about this. These countries (and this includes Australia) often issue six-month fiance visas, which allows someone to enter the country to marry. I not saying your elopement to Australia plan would not work There would be a lot of paperwork to prove the marriage is genuine, and there is no guarantee.
Personally, I think it is crazy to marry anyone you and your family and friends do not know well. This goes for both marriages when the couple are not allowed to spend significant time together beforehand and marriages in which the respective families do not have the opportunity to spend a great deal of time with the prospective son or daughter-in-law.
It seems your options are simple:
If you want to get married in Qatar (or if you want the country to recognize your marriage as legal) then you need to follow the laws and customs of Qatar--parental approval, etc. If neither of you care about this, it is just a matter of finding a way to get her to a country that has laws that will allow her to marry by her own choice.
However, you need to keep in mind that if she travels to Australia on a tourist visa, and you marry there, it is no guarantee that she will be allowed to stay. I know that in Britain, the United States and Canada there is a strong chance she would be deported for violating the terms of her visa (i.e. she said she was coming to visit but got married). There is always a concern about fraudulent marries in which people marry citizens in order to gain residency, and Western governments are always worried about this. These countries (and this includes Australia) often issue six-month fiance visas, which allows someone to enter the country to marry. I not saying your elopement to Australia plan would not work There would be a lot of paperwork to prove the marriage is genuine, and there is no guarantee.
Personally, I think it is crazy to marry anyone you and your family and friends do not know well. This goes for both marriages when the couple are not allowed to spend significant time together beforehand and marriages in which the respective families do not have the opportunity to spend a great deal of time with the prospective son or daughter-in-law.