I checked the Twitter account and did not find any tweet about the need to update the application. In the past, I was able to make transactions without having to download the latest version, so did I miss something?
Have you tried to completely delete the wallet (of course, making sure that you have a secret phrase saved) and install it again? This is the best way out in my opinion. Your problem looks like it's some kind of bug with an update notification, and probably a complete reinstall should help.
I recently switched to Electrum, but the Trust Wallet app remains. It shows version 7.16.2 and does not require an update. Neither in the app not in Google Play.
In general, I do not recommend this wallet, it has a closed source code and it is unclear who carried out the certification. I recently found out detailed information about it, after which I stopped using it.