Hey
Nachliel from Easyapps here
As mentioned in this post Can we make private a form? monday does not support private forms.
A potential work around is to embed the form in your website and require a log in.
Notice that if the form is not anonymous you can see who submitted the form as long as they are members of your board, and then you can filter out the rest.
Regardless, if you are interested in creating styled forms that better match your brand and embed perfectly in you web page you can check out our monday.com app Easyform and our extensive documentation site.
You can set up a free demo here or contact us at support@easyappshq.com.
Here is an example of our form in action:
I hope this helps
Nachliel