Hold all your dates at hot springs and other venues that require a shower immediately beforehand.
See if you can track her food intake if the smell doesn't seem natural. Drug use can also cause various unpleasant odors.
Make sure it isn't you.
Then, armed with real data, and hopefully several fun dates and enjoyable times, mention that you'd like to continue dating, but it's simply something she needs to deal with. If she reacts defensively, it's a good sign she's somewhat aware of the issue. If not, you may be blessed as a super-olfactor, one of the few people who can smell imbalances or even disease in others. If she really seems oblivious, it may be hard to convince her to see her doctor about it, but ultimately you could be saving a life. If the worst outcome is catching a serious condition early in exchange for a breakup, wouldn't that be worth it?