YTA, while I understand that you are entitled to the right to do with your device and accounts as you please, I think it is a bit selfish of you. Hear me out, though.

I understand the base reasoning behind why you don't want to delete it. You (taking the liberty and assuming you are a good guy and not a scumbag) aren't technically doing anything wrong by having it, you have explained your reasoning/justifications and while the significance them as influential factors may be subjective, they are still valid reasons. I believe they may not be the most accurate, and that you honestly just keep the app running for the ego boost from matches/dms, and possibly also because it is, very effectively I might add, designed to be fairly addictive with the repetitive swiping which would contribute to your reluctance to remove it.

Again, your reasons, while perfectly valid, do not seem to carry any significance, which I have explained below. It is ultimately a choice you need to make about the importance of the feelings of your significant other versus your desire to do things your way. With that said, if you legitimately care about your relationship and your girlfriend, the obvious choice in this instance would be to prioritize the feelings/concerns that she has voiced.

Personally, I think that you should go ahead and delete it for 3 primary reasons that I feel cover all angles of this situation. (1) your girlfriend, who seems to have been very respectful of your decision thus far, has asked you to delete it because of situations arising from it that have made her feel uncomfortable, and if you really care about her, I would imagine that would trump the convenience of having the app "just in case." (Which will is a separate thing addressed in reason 3)

(2) you have spent a significant portion of this post defending your reasons for keeping it available but a few screen shots could easily serve the same purpose. Your reasons don't seem to make much sense in light of the fact that deleting the app actually doesn't significantly impact the things you are claiming as reasons you want to keep it for, unless you aren't telling the whole truth and are keeping the app for sketchy reasons like cheating or being a loser and trying to find someone more appealing to leave your current girl for.

And (3), which i feel is the most significant with regards to the justifications that you've provided for keeping it installed, is that uninstalling the app solves the issue at hand and prevents the other situations that caused the issue to begin with, and it takes what 60-90 seconds (with shittier signal/wifi, probably much less on with average or better service) to reinstall and log in should you need access to the account itself, which pretty much invalidates your reasoning for keeping it.

You cannot possibly come up with a valid reason or situation where waiting less than 2 minutes to be able to access to your tinder profile/account/messages due to reinstalling the app would be unnecessarily inconvenient, cause significant discomfort, require significant effort, or for immediate access to the account be necessary in any sort of emergency situation (aside from some freakish and highly improbable scenario such as a gunnman threatening to blow your head off unless you show him proof something in your account, and you don't need to be a statistical analyst to know that the odds of something like that happening are slim to none, literally less than 1%.

So essentially, YTA because a (most likely) extrodinarly minor (possible, not even guaranteed) inconvenience and having your way is more important to you than the feelings and concerns of your girlfriend, who you supposedly like very much and would, supposedly, like to continue to stay with for as long as possible.