Relatable and likeable aren't necessarily the same thing. When a character has abrasive traits, or traits that are less than admirable, readers will often accept them anyway if they have an interesting voice and their reasons for being who they are seem authentic. Since it's Christmas, I'll point out that one of the most beloved of all holiday classics features a protagonist who is a pretty awful human being for most of the story. Of course there's set up early on that implies that there will be a comeuppance, and that the person will change. This is one approach to take with an arc that will involve personal growth and change on the part of an unlikable protagonist, but there are other approaches as well.
Sometimes a protagonist can just be a jerk because that's what the story requires. Heck, I just was over in another thread where there was an excerpt where the (male) pov character swore every other word and was talking about coercing women into sex acts in return for back stage access. I hated the guy so much I couldn't offer commentary, but everyone commenting in the thread loved the character and his voice (the writer did a great job of capturing the voice and personality of that kind of guy, it's just a matter of which heads I want to spend a lot of time inside).
Sometimes it really is a matter of target audience, but it can also be about context. There are contexts that could be established where I wouldn't mind spending a lot of time with an a-hole. Perhaps the above mentioned story would do this for me if I could read from the beginning.
Having said this, women (and men) seem to be harder on female characters who are hard headed, competitive and "in your face" about things sometimes than men (or many women) are on male characters who are. I still think it should be possible to make her interesting enough from page one that it won't matter if she's likeable to many readers.
One way to do this is to give the unpleasant person a code of ethics or sense of honor which may be a bit "off" to most of us, but to which they reliably adhere, even at personal cost. Another is to give them some kind of soft spot, or to hint that one exists. And of course to drop clues that there's a good reason for why they are how they are, that there's some subtext or conflict that is interesting.