I need a button to click on a website at a certain time daily automatically.

You could look into Keyboard Maestro - you can automate just about anything with that: it could open the website on a schedule and click at a point relative to the top left-hand corner of the window.

(I have no connection with this company other than as a customer.)

https://www.keyboardmaestro.com/main/

There's a way to use "Automator" and allows one to make

AppleScripts to perform actions in macOS / OS X. Samples

of scripts are among instructions.

• Automator User Guide for Mac - Apple Support (overview)

https://support.apple.com/guide/automator/welcome/mac

"If the task you need to automate isn't in the list of built-in actions, you

can add your own scripts, such as AppleScript and JavaScript scripts, and

shell commands to your workflow. Simply add the appropriate run-script

action to your workflow and enter your script code or shell commands..."

• Automator User Guide (Table of Contents) - Apple Support

https://support.apple.com/guide/automator/toc

[There may be simpler means 'click button' in Keyboard Shortcuts.]

For those who may venture to download limited trial

Keyboard Maestro, ($36 US) here's user manual page:

• User Manual [Keyboard Maestro Wiki] (2019)

https://wiki.keyboardmaestro.com/User_Manual

or Download Keyboard Maestro 9.x

[seems to me for $36 Automator's worth a peek]