A security advisory (CVE-2025-15551) was released that specifically targets routers like the TL-WR850N. This vulnerability describes a situation where a JavaScript function ( eval ) would directly execute code from a network request without any checks. An attacker could exploit this via a Man-in-the-Middle (MitM) attack to run malicious code on your router's administration panel without your knowledge.
The advisory explicitly lists the TL-WR850N v3, stating that versions are affected. Your firmware, dated April 7, 2021, is significantly older than Build 230227 (which would be dated February 27, 2023). Therefore, your device is highly likely to be vulnerable to this and many other unpatched security flaws. 3.16.0 0.9.1 v6031.0 Build 210407 Rel.7370n -TL-WR850N-
Because 3.16.0 0.9.1 v6031.0 is based on Linux, you might wonder if you can install or DD-WRT . The advisory explicitly lists the TL-WR850N v3, stating