I wouldn't worry too much, everyone has their own issues to deal with and this is one of yours. No one you meet is going to be living a perfect life and come into the relationship without any baggage; be it chronic illness, depression, tragic life experiences, crazy family members, meddling exes, etc.
On the flip side, getting into a relationship may help you deal with tinnitus, you might start to become more distracted from it as you focus on building a relationship with someone else. If on the odd chance the other person is unable to deal with your tinnitus or understand what you might be going through, then that person wasn't probably the right one for you in the first place.
My first girlfriend had an absolutely debilitating chronic illness called Crohns disease. Basically her intestines were diseased and had to deal with chronic severe stomach pain, vitamin deficiencies, chronic fatigue, constantly needing to use the bathroom, vomiting when things got really bad, migraines, and had to have multiple surgeries to remove sections of her intestine. Not to mention the slew of side effects she experienced from the heavy duty medication she was on. Of course the severity of her symptoms varied, she could go months with fairly minimal symptoms but bam, all of a sudden she'd be very sick for a month and end up in hospital.
It spite of all this, it was never an issue in our relationship. I understood she needed to deal with this illness and I supported her in every way I could and for the most part it had absolutely no impact in any aspect of our relationship, she handled the illness like a champ and you could never really tell she had something so serious. A couple years into the relationship, I had to deal with my own medical issues that were quite serious at the time, and in the same way she was there to support me.
Things didn't end up working out for us years later, but that was a completely different issue. I was 17 at the time I met her, and not nearly as mature as I am today but I was still ready to deal with these issues, I think when you're in love, nothing else really matters.
So I would say get out there and do what you do, you might come across a couple duds a long the way but that happens to everyone, eventually you're going to find the right person for you.