... on a number of factors. The biggest is, have I seen the provider before. I tend to see a few favs and occasionally someone new. I know how long my favs take to respond under normal circumstances, and usually I know if they're out of pocket for awhile. So depending on their habits and circumstances, I may wait more than a couple of days.
For someone I've never seen before, I usually make a request through P411 if the provider uses it. I've found that I always get a reply back within a day or two, unless the provider is out of pocket eg vacation. If they don't use P411 and thus I need to use email or (very rarely) text message to reach out to them, I'll wait at least a couple of days for their initial response. If I've heard nothing after a couple of days, I'll usually move on.
That's a long way of saying I think your 48 hour policy is reasonable, given you book a week or so in advance.
I should note I usually book at least a couple weeks in advance because I have few holes in my schedule so I want to be sure I can book the provider for a specific day and time. But there's exceptions, eg if a provider has to cancel a date because of illness or some other reason, I'll try to make arrangements with someone else on fairly short notice.
A funny anecdote on this topic: I reached out to a well-reviewed provider via text message (her preference) awhile ago. Never got a reply. I moved on, actually forgot about it. Then several weeks later I got a cryptic text from her saying she was available that day. I scratched my head and asked, "Who is this?" as I had no idea. She sent another cryptic message. Later when I had time I searched on her phone number (she'd changed it since I contacted her) and found out who it was. So I thanked her for reaching out to me but said I wasn't available that day. Over the next week or so she sent me a couple more cryptic texts about being "around". I didn't reply. And I blocked her phone number.
Ladies, if you're reading this, IMO that's NOT a good way to respond to a respectful request from a prospective client.