De Rossi is having not good reputation, but he can do something special which will help him for having better things for his and his team future two wins bring some positive change and their test case is ahead while they will host Inter Milan.
He is a new coach and actually his reputation in my opinion is not a problem because indeed when talking about reputation until now we still can't talk much because he is a new coach, it's just that it's not about reputation issues but the confidence we have in him.
He is a new coach whose best previous experience is in Serie C with SPAL so it will take time for De Rosi to provide evidence because with what he showed at SPAL it was not a good thing but indeed for now we cannot discuss that as a benchmark because after all we only have to see now whether he is able to answer the trust or not.
If indeed Roma's performance is getting worse then he must be prepared to be blamed because his performance cannot bring Roma to a better direction but if his condition is stagnant or even better it clearly must remain appreciated because Management's decision to bring De Rosi is the right decision.