When your skin recovers a bit more (I imagine that is an electolysis reaction I can see) and your hair is just a little longer at the sides to balance out your longish face you will do absolutely fine.
At the moment in all honesty, whilst I doubt that many would look at you twice, if you know what to look for the signs are kind of there to be read.
Like I say I'm sure that no one will give you a hard time, because you are certainly well in the right direction, but I would say that a in few more months you will look even better, so don't worry.