Originally posted by: prc_fan1
I don't think he's insecure of her at all. Like he mentioned, he is impressed with her & not only that, he believes that being her ally would benefit him further. He is yet to convince Cor.Abhayankar to lead his EVEREST expedition so my guess is that getting Anjali on his side (who Cor already favours) might be one step towards convincing Cor to lead them on the expedition.
Also his remark to her that she might not be able to make it within her first attempt IMO is a sign of his overconfidence rather than an attempt to put Anjali down. Given how he also supported Raman & is against the Black Horses, I don't think Arjun is the kind to look down on another. Its more like he thinks he is the best, if you get what I mean.