Inside Aeaea Island
Finding nothing in her immediate vicinity to measure her power on and time being of the essence, Runa placed her faith in the goddess and touches the living bomb. "Goddess, by your divine power may this evil device be excised from the world," she says softly but intensely.
OOC
I've put some thought into this and I think the destroy inanimate objects power should work.
First, it says inanimate, not inorganic. That rules out the power not working simply because the inanimate object in question is made from biological/living material.
Second, the bomb is, so far as I can tell, inanimate, as in not animate. While organic and technically alive, it has no more will than a tree or even a carnivorous plant. It has no mind, no sense of self and is completely non-sentient. It is a bomb that just happens to be made from organic tissue.
Third, I considered the source of Runa's power. In her case, Power Touch is a gift from a divine source, Ishtar, goddess of war, love and sexuality. Looked at through that lens, she is the ultimate arbiter of when, where and how her power works. Now she is no doubt a busy goddess and so can't be keeping an eye of everyone of her avatars/priestess/priests around the megaverse, every moment of the day or even only when they use a power she has given them. That's why she gave them the power; she vetted them (I assume) and trusts them to make the right decisions in her name.
So after reading up on her from various sources, I think it would be in keeping for her to smite a device like this. It fits her aspect of war as well as her contradictory nature; "a goddess of contradictory connotations and forces—fire and fire-quenching, rejoicing and tears, fair play and enmity." In this instance, using the power of destruction (fire) to destroy a bomb is a form of fire quenching. A play on the classic, "fighting fire with fire".
Assuming you agree with this, on page 70 of HU2E, there is no handy SDC amount for bombs listed but it does a wooden shipping crate as having 12 SDC and a metal shipping crate as having 48 SDC. Just to be on the safe side and utterly disintegrate the bomb, Runa will spend 300 power points to do 300 SDC to the bomb.