The pastor opens their availability once. It appears straight away on the church page in Community and on its public page, the one found through a search engine. The person picks their moment, the request arrives in the agenda.

The slots, the two public booking surfaces, the statuses and the three answers all exist as shown. The people and dates are examples.
Someone is waiting to be seen. They should not have sent three messages to get a time.
A request for a meeting always starts the same way: a message on Tuesday, an answer on Thursday, a counter-proposal on Saturday. After eleven messages the person gives up, or the pastor writes an appointment in a notebook nobody else can see.
Most booking tools give you a link to share. You then have to remember to update it, paste it back on the page, resend it to whoever lost it. Here, availability is not a link: it is a state of your agenda, and all your pages read it.
The real risk, once the request is in, is that it stays unanswered: you read it on a Sunday between two things, you tell yourself you will reply that evening, and it disappears under the next ones.
A pastoral agenda is not a commercial one. The difference comes down to three refusals.
One window, one length, and it is live on both sides within the minute. The next person who wants to talk to you will not have to ask when you are free.