It's simpler than the implement or familiar rituals, and much simpler than the awakening one. Not a single magic circle involved.
Technically all that's required is speaking the claim, and then the local spirits take care of transmitting it to interested parties and enforcing stakes.
The actual text is equally simple. Most of it varies by practitioner; only a few lines are standardized. She could say it now, if she wanted to. I hereby make a claim. Let this be my statement. I claim this space and only this space. Let this be my challenge.
By word count, the non-standardized part is most of the ritual. The practitioner states what their demesne is going to be: what it means to them, what they're doing and why they're doing it, what kinds of spirits they want to attract. Usually also a line about how it is to stay a place of sanctuary for their descendants after they die. And of course it ends in Let this be my challenge. If any would deny me this demesne, declare your right to challenge me and find me here.
A demesne is supposed to be about claiming a place in the community as much as a place in the geography. It declares intent to stay, after all. The spirits react accordingly and concentrate on telling prominent practitioners and Others that there has been a claim. Those listeners get shown the voice of the claimant and where they are, and once they arrive they get first say in declaring a facet of the challenge or excluding something. The book suggests that getting on good terms with likely challengers is at least as important as preparation for defending against them, even if it's less exciting.
Once you've finished the challenges, either by winning or by paying the agreed-upon forfeits, My last challenge met, I claim this place. And then it's your demesne.