I had been waiting for the OP to reply so that I could provide specific guidance but after two months he is not likely to return. You or anyone else can apply the following general instructions for getting rid of problems like GoWebSearchDaemon, should it affect them.

The subject dialog always takes this form, as described in Safely open apps on your Mac:

Move to Trash is the correct response. When that message becomes persistent though, the cause is always the same: one or more files that spawn the process resulting in its appearance.
General instructions applicable to all similarly categorized malware are as follows:
The folders to be examined are these three:
~/Library/LaunchAgents
/Library/LaunchDaemons
/Library/LaunchAgents
There should only be few files, if any, in each of the above folders. You should know what they are and why you need them. If you're unsure, ask.
Legitimate products that deposit system-altering components in those folders commonly include Adobe, Amazon, Dropbox, Google and Microsoft, including its product Skype. Teamviewer also, assuming you really need it. Less common but equally legitimate products include Steam (games), various non-Apple "cloud backup" products that don't work very well, and device drivers for external hardware such as printers and non-Apple input devices. You should have at least a passing familiarity with the products you installed on your Mac, and the files they deposit in those folders should never come as a surprise.
Illegitimate products notorious for causing trouble include any non-Apple product that claims to "clean", "enhance", "optimize", "protect", or "scan" your Mac. Anything in that broad category of junk should be uninstalled according to their instructions and never reinstalled, ever again.
Everything else should be regarded as suspicious. Some malware will litter those folders with hundreds of randomly named files in a pathetic attempt to obscure itself. For one particularly egregious example refer to notice unysgar.app, but if you have no explanation for any particular file in those folders you need to investigate.
Among the few examples in this Discussion are files containing the following in their names:
calculator
confcloud
copypaste
fixer
helper
hlpr
mafntask
moniter 🙄
pcv
scan
search
systemExtr
spigot
techyutil
updService
util
utilty
vlm
files containing nothing but a random string of long alphanumeric text
... among a few others, but deleting those is a good place to start.
Then, reset your desired Search Engine, uninstall any strange Extensions, remove any unwanted Login Items, delete any unwanted apps, examine System Preferences for the existence of any Profiles, and finally restart your Mac (normally; not Safe Mode).
Then, evaluate its operation. If something still isn't right re-examine those three folders and determine if you overlooked anything. If something really gets messed up you have Time Machine to fall back on, so keep that important fact in mind.

That in a nutshell is how you get rid of adware, on your own, without having to even ask anyone for help. If you prefer individual attention specifically tailored to your needs though, then by all means please post a new Discussion. To do that click the Post link above right, and choose Discussion from the dropdown menu:
