First of all - welcome to BC !
I have just spent a minute or two looking at this image of your icon both as in your post and the 'clicked on' version and am no further forward. From where I sit it looks like either a teddy bear or an old fashioned alarm clock and like you I have no idea what it represents.
However I don't think it is likely to be malware - with the exception of ransomware this operates by stealth and doesn't advertise. None the less, to put your mind at rest, I suggest you carry out a system scan with your anti-virus and an anti-malware one as well. If either of these scans bring up any problems that they cannot themselves resolve, or if you still have concerns, then my advice would be to start a topic in the 'Am I infected?' section of BC.
And if you do finish up starting a topic in AII then give the basic details - make and model - of your computer and OS, and include a link to this topic. Just copy and paste the URL at the top of this page.