Co-worker needs hearing test ... advice on how to handle?

She has repeatedly ignored patrons (library speak for customers) and other staff, myself included, who speak to her.

On my own, I came up with the idea of asking her if she was angry with me, in the hopes of turning the conversation into a “well-if-you-aren’t-ignoring-me-why-don’t-you-answer-me” kind of a thing. I decided that was too roundabout.

Any advice on taking this forward? Hearing loss is insidious and an assault to many people’s vanity, so it’s something I would really like to handle as decorously as possible.

Complain to your boss. Let him/her deal with it.

I don’t see anything wrong about asking her that in a nice, polite manner. Maybe she really doesn’t know she isn’t hearing so well. I don’t think it would hurt to ask.

First, is this a new situation or is this person a fairly new hire?

If they are a fairly new hire, the boss may already be aware of a possible hearing loss. If she’s been around for a while and it’s a recent development, I’d still go to the supervisor/boss, because it may be something they are aware of - or they may not, and need to be.

I just have a hard time seeing it as something a coworker can bring up (unless you’ve worked together for a long time and consider each other friends) without maybe coming across as invading her privacy.

If it’s affecting her job performance, bring it to your boss’s attention, otherwise I don’t feel it’s your place to insist she get her hearing tested or get a hearing aid should it be determined that she needs one. When my last hearing aid went bad, I simply couldn’t afford a new one and I didn’t care that people would have to repeat things to me. My friends knew that if I wasn’t looking at them, they should expect to repeat themselves. Anyone else could bugger off unless they wanted to fork up the cash for a hearing aid. It didn’t affect my job since I work with computers.
My friends did joke about it and I know I sometimes frustrated them but they sometimes frustrated me too so it all evens out.
I wear two hearing aids and even with all that, I’m never going to hear as well as normal folks. If you’re a friend, you’re just going to have to make allowances and if not, it isn’t your place to bother this person about it.