Since you're going on a medication where all the effects, harmful and beneficial, are still unknown, you should take every step possible to protect yourself from potentially fatal harm. This includes trips to the gyno, unfortunately.
I think about it this way. Die of cancer, or pop a Valium and catch any life threatening bad stuff before it even becomes life threatening.
There are several coping mechanisms for gynecological visits. These include anti-anxiety medications such as Valium, desensitizing such as talking about it with your doctor/mother/female figure in your life frequently until it no longer bothers you, and just toughing it up (Which don't feel bad if you can't just tough this out, it's pretty uncomfortable even for ciswomen, much less a male-minded person).
I was suggested once a year, starting 1 year after starting Testosterone. Once every two will suffice, but once a year seems cautionary enough and it's not really that bad. They don't last long, anyways. Some gyno's will even drug you up if you don't have Valium on hand like I do lol. And there are LGBT friendly gynecologists out there, who will be willing to use correct pronouns and to be as gentle as they can.
PS. Some prescribers of testosterone WILL make you go to a gyno, or they will refuse to write you a prescription. They're just looking out for your best interests. I know that the doc I almost went to would do that, seeing as he was a gyno himself, but yeah. I mean, even if they don't make you, you should anyways. As horrible as you may think it is.