All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger. We ask Allaah to exalt his mention as well as that of his family and all his companions.
In principle gathering to mention Allaah is something recommended by Islamic Law. For instance, the Prophet said: "When people assemble in one of the houses of Allaah (mosques), reciting the Book of Allaah and learning and teaching the Quran (among themselves), tranquillity would descend upon them,…" [Muslim]
So gathering to mention Allaah is something praised; however, it is more appropriate to follow the way of the righteous predecessors in gathering to seek religious knowledge. As regards gathering in a way that is mentioned in the question and the like, if it is done occasionally and is not a habit, then there is no harm in it as long as it does not contradict the Sunnah, because the masses of people would think that this way of mentioning Allaah is the Sunnah and that the Prophet and his companions used to mention Allaah in this way.
So if this matter is taken as a habit, then it becomes an innovation, and it is better to avoid mentioning Allaah in the manner mentioned in the question. It is reported that Ibn Mas'ood said: "Follow the guidance [of the Prophet and his companions ] and do not innovate as this will suffice you [you were taught about everything, and you do not need to innovate]."
So we advise you to use this gathering in order to learn the matters pertaining to your religion by inviting a caller to Islam to give you a lecture, and it is more appropriate if you invite a learned woman who is knowledgeable about the matters of her religion.
Allaah knows best.