Welcome to FT iwutitan49.

Although not completely unknown this is far from "normal" practice and if it causes warning bells then you cannot go wrong by heeding the instinct and booking elsewhere.

It is also poor practice to send CC details in an email - so unless you can complete the reservation entirely on-line with a reputable hotel, perhaps an alternative would reduce your stress and concerns. Booking entirely online also gives you the terms and conditions eg with respect to cancellation etc - all in one neat and printable and proveable place. Telephone calls (particularly where English is not the mother tongue for one side of the call!) often leads to misunderstandings and disputes about what was said and which will rarely be concluded in your favour without hassle.

Is it worth the agro?!