You'd be silly to say he should go now.
You'd be just as silly to say you've got no concerns.
3 biggest concerns for me are;
Credibility.
He has no previous record at any club to support him having the credentials to do anything here. Its blind faith.
Decisiveness.
He seems incapable of making of a proactive change. He doesn't appear to have much conviction - today was a perfect example. Puel made a proactive change at HT, we didn't. When Gomes looked completely dead on his feet and put in 2 bad challenges, we readied Davies. They score and he then goes for Bernard? Why? At 0-0 shouldnt any change be to win the game? Why does that change when they score?
Defence.
The constant tinkering and zonal marking.