So while some radiation is acceptable for most people, usually no radiation amount is taken as acceptable for pregnant mothers.
No it's not, since it's simply impossible to ever have no radiation. What's important is to compare the extra radiation from DU to the normal dose you get anyway. Unless you have a particularly large amount, you're unlikely to be able to see any difference from the noise.
Huh, I went through some calculations and came up with a dose of about 2.7mSv/yr, which would be about equivalent to background radiation. Then I found this site, which is probably a lot better than relying on all the assumptions I'd had to make. Obviously it still relies heavily on how much you assume people are exposed to, but checking out a variety of different amounts, enrichments, and exposure methods that seemed reasonable to me, I still only got 3.5mSv/yr as the highest. So it may actually be a measurable increase over background radiation, but is still less than taking a couple of flights, smoking, or living in Cornwall.
Of course, heavy metal poisoning probably isn't very good for mothers either.
So, the question to ask is which is the least bad choice factoring in both munition efficacy and resulting toxic waste contamination.
Well, as noted above uranium is actually not as bad as many heavy metals. And while tungsten isn't too bad either, the alternatives to DU are generally alloys including cobalt and/or nickel, which are.