Coming back to my issue. I wasn't feeling comfortable with tdsskiller running only in safe mode. See, if at any moment I think my PC is infected, I have few tools that I run in order to clean it, and one of them is tdsskiller. In a scenario where a computer is infected, I wouldn't like to restart it in order to get into safe mode to run the tool. So, it was bugging me all these days and I couldn't find a solution on the internet.
So, I went on and uninstalled Kaspersky free antivirus and immediately I was able to run tdsskiler in normal mode. After all and in my case, it seems that the conflict was actually caused by Kaspersky software. I thought to let you know, so that it my be fixed in future updates. Thank you.