Have you talked to a tattoo artist about this concern? I advise it. I suspect they might find your concerns to be unfounded. I guess it depends on how elaborate the tattoo is but I imagine it would take a pretty dramatic body type shift to noticeably affect it.
Remember, guys tend to have a lower body fat than women, so you most likely will too on T. However, muscle is quite dense and weighs more than fat and 92 lbs is REALLY low for a guy, even if you're a shorter guy. I'd be really shocked if you don't end up putting on weight on T even if you don't look heavier so be prepared for that. You'll tend to want to eat more so listen to your body's needs. Therefore, it doesn't make much sense to obsess over scales. It makes more sense to pay attention to the proportions of your body. I've seen guys start working out and get frustrated checking the scale every week. Meanwhile, they were clearly getting in better shape even from casual observance, i.e. their midsection shrinking and their limbs thickening. If you're already endomorphic (inclined to be skinny) while female-bodied when women tend to have more fat naturally, you'll tend to be endomorphic as a guy too, maybe even more so. It's probably going to be quite difficult for you to actually get "fat". You'll more likely get wirey meaning your muscles will get harder but not much bigger unless you start shoveling down the calories. Just a reminder--the naturally-skinny guy from NerdFitness had to eat 8000 calories a day while lifting heavy weights to actually put on noticeable weight.
I just feel a need to repeat this once more so sorry for harping, but it's potentially life-threatening and certainly health-threatening. If you're naturally endomorphic and really worried about gaining weight, there's a possibility you're venturing along the borders of an anorexic thought cycle so maybe just make sure you keep your gender therapist and/or or endocrinologist updated about such things or you may end up switching out one type of dysphoria for another. Pay attention to your body and see how things go but I think you're probably worrying over nothing, at least in this particular respect.