While displaying alternate glyphs popup should be an option (vote here: https://illustrator.uservoice.com/forums/333657-illustrator-feature-requests/suggestions/31896742-let-me-turn-off-the-obnoxious-alternate-glyphs-pop), I found this feature very useful.

But every time I want to choose one of proposed glyphs I have to move mya hand to mouse and click desired symbol.

This is nuts. I work with text. Why can I press a key to move focus to this popup, use arrows to navigate to desired one and press Enter to confirm my choice? Why use mouse, when I type?
Or is it a way already and I just can't find it?

Please, make a way.