You must have a qatari sponsor(male or female) who will do it for you.

1. Your business would be an ESTABLISHMENT & your Qatari sponsor is 100% owner of your saloon.

2. It could be a WLL where in HE/SHE would be 51% shareholder & you would be 49% share holder...

Alternatively, You can have fare understanding with your qatari sponsor/partner.
And there is lot............... hope you are aware of qatari law very well.