This may or may not help, but my yorkie girl comes up to me as soon as she hears the coffee machine going (or the can of whipped cream), so she actually likes the sound (but then I got one of the Kuerigs, it's not real noisy). I usually have whipped cream on my coffee and I'll usually give her a little dab as she just loves the stuff. My other two jacks began to notice this and started to try and get in on it too ^^;; Granted I know this isn't the most healthiest of treats but it's her only real guilty pleasure that she gets most of the time in the mornings :3
You may try a tiny bit for her a few times to get her to associate with the whipped cream can (and the location) while near the machine when not in use and then start using it around the coffee machine when in use. It also doesn't have to be whipped cream, but it'll have to be something that'll be uniquely used around the coffee machine (or any other scarey noisy spots). I find sometimes using treats they normally get won't always work unless they are really food motivated or it happens to be their most favorite treat. So something a bit different and when they can only get under certain circumstances would make it more of a "rare" treat that they might do more for

Aside from that, later investing in a less noisy coffee machine might work ^^;;
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R.I.P. Mick & Mandy (before 2010), Mila - 4/3/15, Chloe - 2/18/16, Kimchi - 6/2/2021