It actually all depends on your surrounding context, and especially, on how this continues.

The type of expression required for 'abstraction faite...' is totally dependent on the way the ideas are being presented.

As for 'empêchement', again, it depends precisely what action is being described here; I can hardly see 'prevention', unless it is the woman herself who is doing the 'preventing'; so I have suggested 'difficulty' on the assumption that there is some external factor that is doing the 'preventing'; but this will of course need to be adjusted in the light of your fuller context...

Also, we need to know why they are talking about 'objectively' — is this at any point being contrasted with something that is more 'subjective'?

All this to say that really, it is impossible to give a satisfactory answer without knowing a lot more of the wider context.

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Note added at 13 heures (2014-04-28 06:16:34 GMT)
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I don't know if it would really be applicable here, but another possible rendering of 'abstraction faite' can sometimes be 'quite apart from' — although that rather tends to 'turn it round the other way', it all really depends on the intended tone and force required.