For me, I don't think its normal to go out and eat dinner with the same friend, be it once a week or everyday even. Newly weds should be a happy couple, although you are in a sad long distance relationship, thus still its not appropriate to entertain female friends and invite her in his house.
Talk to your hubby and let him know how you feel... Healthy relationship comes from an open communication and trust. Mahirap talaga sis, but you have to be firm. How long have you known him? Does he normally likes to invite friends and cook dinner for them when he was still single? If this only happens when he gets back to uk after your wedding. Then you need to have a serious talk. Just don't fret sis, until you know his reasons. I hope you are well. God bless! x