Here's the thing ... the software industry is rife with jobs that someone will find morally objectionable. I have worked for a company who provided hardware for the military, I have worked for a company who aimed to strip the betting exchanges, in the same way as others strip the financial markets.
I won't go into the details, but I know that some people find my current employer to be morally offensive, though 99.9% of people would think it's a really good service. Heck, some people think Microsoft, Apple and Google are the big evils of current society. Amazon has been accused of all sorts of employee abuses.
Almost every job you ever take will raise an eyebrow with someone.
I'm not even going to attempt to guess at how many of your future prospective employers will raise an eyebrow at a job on your resume that is connected to the adult industry.
But I will say look at it the other way around. I can guarantee you that if you remove entire industries from your potential employer pool now, you will reduce your options now.
I would advise you to do that only because of your own morals, not because of those of some future employer. There are certainly some companies/organisations I would never work for, but because I object to what they do, not because some hypothetical employer down the road might.
The fact is that, if I have no issue with working in an industry but this hypothetical person has so much of an issue with it that they would never consider employing me after I've worked in that industry, there are probably going to be other clashes of interest / personality, it's probably for the best if I never work for that person.
So, as I said in my earlier comments: Yes, working in the adult industry in any capacity will limit your future career options. There will always be someone who will make an assumption about your morality based on that. The same also applies to working for the military. Or Big Pharma. Or in gambling. Or banking. Or law. Or insurance. And so that list goes on.
You have to decide for yourself if it will limit your options enough to make a decision right now to exclude an industry from your potential-employer pool.
I will add this thought: Don't draw attention to it on your CV. It's content, it's feeding, it's payment processing. It's all stuff that is useful in other industries. It's high-access, and you can't afford long periods of downtime. This is also useful in other industries. Draw attention to that. But hiding a company name is drawing attention to it as much as putting it in bold 72-point font, so bear that in mind.
Treat it as Just Another Job and you'll probably find most other people do too.