Tattoos and losing body fat?

So I would like to get a tattoo on my inner upper arm. However thats an area where I'd like to lose fat but I have a hard losing fat there since the reason why I have fat there is mostly because of having higher levels of estrogen so the weight there is very hard for me to put off. My arms aren't super large or heavy there's just a tad bit more fat there than I'd like there to be. I plan on maybe in the future getting liposuction to get rid of some of the fat. I really want the tattoo there but I'm not sure how it will look if I get the tattoo before I lose the fat. Should I get tattoo then the liposuction or liposuction and then tattoo. Keep in mind that I don't have too much fat to remove