|I take it you have never customized your "Quick Access Toolbar".|
As far as I know, any command that is "buried" within a ribbon can be placed on the Quick Access Toolbar, similar to using the Customize...Commands options under the Tools menu in previous versions.
P.S. I suspect that the Customize feature is how you got the icon you mentioned in your OP. Like I said before, the Delete Row icon is not on any toolbar by default. It's buried under Edit...Delete...Entire Row, requiring 4 clicks including the OK button.
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