I would be more likely to believe the victim too in a case like that (unless they were clearly lying) and would probably argue their side as strongly as I could during deliberations, but if there's no evidence there's no evidence. You can't find someone guilty because you think they probably did a crime, it's just not how our legal system works. Like others above, I was pleasantly surprised to to discover that not one person on my jury (of either gender) was 'full of misogyny and rape myths' - people had differing opinions on the guilt of the accused but it was based on the evidence rather than preconceptions.
And unless I had a spectacularly crap set of trials (which is possible, I was only on a few after all) I was shocked at how little effort either side seemed to put into collecting evidence and/or cross-examination in all cases. The sex-related one was probably the best of mine actually, although that wasn't saying much - it was the only one where there was nothing obvious that everyone seemed to be ignoring despite the fact that it would have clearly been a huge help to the case on one side or the other.
The court process was clearly incredibly harrowing for the victim, and it was horrible to watch, but I can safely say that based on my experience I would be far, far more likely to report any sexual violence that happened to me than I would have before the trial, when I was convinced that no-one would take me seriously and it would be impossible to get a conviction. I think it's important to get the good stories out there too, not just the ones that might lead people to believe they shouldn't report rape/assault cases because it's hopeless anyway.