Answer
Do people trust a business without a website?
The people who already know you do. Strangers mostly don’t, and that has nothing to do with you: a website is the first thing they check and the easiest way for a business to look like it plans to be here next year.
Here’s how trust actually gets decided now. Someone hears your name, and before they call they look you up. That part isn’t a judgment on you. It’s a habit, and it’s the same habit they use for a restaurant or a dentist. What they’re asking is small: is this real, is it still open, is it the kind of outfit I want in my house. A website answers all of that in one glance. No website leaves the question open, and an open question usually loses to a closed one.
A situation. A homeowner needs a roof looked at after a storm. A neighbor gives them two names. The first has a site with the owner’s photo, a page about storm repair, the service area, and a phone number. The second has a Facebook page last updated in the spring. Both are good roofers. Only one of them looks like a business the homeowner can hold to its word, and that’s the one that gets the call.
Think about it as a ratio. Years of doing honest work. Twenty seconds of a stranger looking at a phone. That’s the whole first impression, and it happens before you’ve said a word.
The site that earns the trust is plain. A real name, a real face, the trade in plain words, the town, a number that rings. Nothing has to be fancy. What matters is that the person who looked you up found someone who’d answer for the work, and found it fast.