First, it's perfectly normal that she wants milk straight from the source. You're so warm and cozy for her to snuggle up to, and the bottle doesn't feel the same. Plus, the mechanics of a bottle are different -- she doesn't have the control over the flow that she does at the breast.
My older two both took a few bottles at an early age (2 months or so), but started refusing them completely by 4-5 months. With my youngest, we never even bothered with a bottle b/c it wasn't worth the effort.
One thing you can do is to try offering breastmilk in a sippy or regular cup. My husband got my oldest to sip from a regular cup starting around 4 months. It was a little messy, but at least she got a little milk into her.
Is your little one on solids yet? If not, she will be very soon, and you can just have the caregiver offer solids when you're not around. You can even mix them with breastmilk to help get the added calories/fat/nutrition into her. I've heard that some babies like breastmilk "slushies," so that may work for her now, too, even if she's not really on solids yet. No, feeding solids when you're gone probably won't tide her over for 24 hours, but it can work for several hours here and there.
Remember, too, that it will get better. Babies grow up so quickly, and it won't be long before she'll be eating enough solids and drinking enough from a cup for you to leave for longer periods of time as needed.