Although it's technically correct you can't get a virus, I suspect you're concerned about security threats in general - and that answer to that is yes, indeed, if you download any 3rd party software - which, of course, you can easily do inadvertently or otherwise with a click on a website.
The biggest threat in your case comes from the fact that you're running on Yosemite. There are security holes in Yosemite that will never be fixed and which malicious processes can easily take advantage of even if you don't give them admin privileges when you install (and anything which asks for admin privileges to install should be avoided like the plague on any version of macOS).
The answer to these problems is not more 3rd party software but an OS upgrade. Get off Yosemite as a priority if you can. Ideally you want to be on 10.12.4 or higher. If your machine won't support Sierra, get up to 10.11.6.
Avoid all security software. A great deal of it is junk and made by the very people you're trying to avoid, and none of it will protect you from the vulnerabilities inherent to Yosemite and earlier versions of El Capitan.
Most importantly of all if you can't upgrade your current machine, plan to buy new hardware as a matter of urgency.