I actually don't agree with you. Rudra is not weak. Gauri got a job because she's had experience in work before. Rudra didn't get a job for two reasons: (1) he doesn't have any experience, just a degree and (2) he's from a rich family and that's the biggest thing against him.
Also when Ketki bhabhi went missing, Rudra may not have worried before because like most people would think, he probably thought that Ketki bhabhi had been sidetracked and had gone somewhere else or took a longer route because the regular route was too crowded.
Thirdly, what would he have told the police even if went there? A lady is giving me crank calls and threatening to separate my wife and I. I doubt the police would take that seriously.
Finally, if you notice right now, Gauri is missing. If Rudra was weak, then he would act like a typical bahu and just sit in front of the mandir and pray that Gauri was alright. Instead, he's out there hunting for her and is willing to take on more than just one fight to find her. Also, when Gauri was getting married off to Ram, he didn't just watch helplessly, he went there and fought to convince Ram that Gauri was his wife.
He isn't weak, he just isn't the macho man that is showcased in each serial today. He's a very strong man. 😊