The simple reasons behind his reaction are:
1. No faith in Anjali's capabilities. Afterall She is a 'girl' who is trying to achieve what is 'unachievable' for her sex.2. Subconscious fear that a girl might achieve what he could not.3. Hurt ego that he was kept in the dark4. And some amount of parental fear that his 'incapable" child might fall to her death or hurt herself in the process