I believe that Islam, the religion, is more important than a minor issue compared to it like hijab. I know many women who embraced Islam and were wearing the hijab at first only when they pray at the mosque. Some of them got the courage to wear it in public later on, and some of them didn't do it yet until now.
I recall a story in the past when someone wanted to convert to Islam but he was obsessed with drinking, i think it was in the time of the Prophet, he didn't tell him come later when you stop drinking wine. He encouraged him to become a Muslim, then one time, this man stopped drinking on his own because faith has sustained him to make the decision to stop drinking, with the help of Allah.
So my answer would be, if hijab was the only issue you are concerned with, then go a head and become a Muslim and don't worry about some people who might judge you, because your intention is to please God, not human beings, and he knows what is in your heart and your deep love for him, and he also knows what you can and what you can't do.
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On no soul doth Allah place a burden greater than it can bear. It gets every good that it earns, and it suffers every ill that it earns. (Pray "Our Lord! Condemn us not if we forget or fall into error; our Lord! Lay not on us a burden like that which Thou didst lay on those before us; our Lord! lay not on us a burden greater than we have strength to bear. Blot out our sins, and grant us forgiveness. Have mercy on us. Thou art our Protector; help us against those who stand against Faith." (Quran 2:286)
Peace and blessing.