What actually matters, ranked
In order of how much each one costs you if it is true. Notice how far down appearance sits.
1. Nobody knows who controls it
Top of the list and rarely the reason anyone calls. If you cannot log in to the domain registrar, the host, or the content management system, you do not own your site in any practical sense. Domains lapse and get bought by someone else. Hosts suspend accounts on unpaid cards nobody has seen in years. Sort this out before you discuss colours.
2. Unsupported software with known holes
An old content management system, an abandoned theme, plugins whose authors stopped shipping updates. Once a vulnerability is public and no patch is coming, the hole stays open permanently. Automated scanners find these without anyone targeting you specifically. This is a real, ongoing liability rather than an aesthetic one.
3. No HTTPS
If your address bar says Not Secure, every visitor sees that warning before they see your business. Certificates are not exotic or expensive any more, and there is no good reason to be without one. What that warning actually means is covered under website security problems.
4. Unusable on a phone
Most people looking for a local business are on a phone. If they have to pinch and zoom to read your hours, or your menu is a PDF, or the tap targets are too small to hit, you are losing the enquiry regardless of how the desktop version looks. This is the single most common genuine fault on an old site.
5. The information on it is wrong
Old prices, a phone number nobody answers, a member of staff who left years ago, hours from before you changed them. This is the cheapest thing on the whole list to fix and it does direct damage every day it stays up.
6. Nobody can update it without a developer
If changing your hours means emailing someone and waiting three days, the site will drift out of date permanently, because that friction always wins. That is a structural problem, and it is what maintenance or a better editing setup is for.
7. It is slow
Old sites accumulate weight. Worth measuring rather than assuming: see slow business website before concluding that age is the cause.
8. It looks dated
Last, deliberately. It does affect whether people trust you, and that is real. It is just not the emergency it gets sold as, and it is frequently the only item on the list that anyone mentions.
One related detail worth checking while you are here, because older sites predate it entirely: paste your homepage into a message and see what appears. If it shares as a blank grey box, the page is missing its preview tags. That is a small fix with a visible payoff every time someone recommends you: see missing link preview image.