Is anything wrong if a woman is independently 
leading her life...?

Nothing wrong if a woman CAN independently lead her life , without anybody's support. 
It all depends on so many factors. 
But as per my theory and concept, 
only some women will be, can be and must be living like that.

Will her life be a successful one, if she do so...?

 If I say "YES", 
it'll mislead or encourage some women 
to select their life to live independently, 
without anybody's support.

If I say "NO", 
then it'll discourage and will make them 
to lose confident for the women, 
who are presently leading their life, 
for some personal reasons.

But, 
I have to say the TRUTH that 
they CAN SUCCESSFULLY lead their life independently, 
without anybody's support.

So, as per their personal reasons and unfortunate situations, they are living so. 
Then who are that some women...?

The personal reasons, unfortunate situations 
etc., etc will come ONLY to the
WOMAN of MANLY (MASCULINE) TYPE...!

What do you mean by masculine type?

Please refer the introduction page or refer : Ever wondered why some male behaves like female & female behaves like male?  
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